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Finding the Fourth Proportional to 528.24, 728.82 and 440.76

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Solution

The fourth proportional to 528.24, 728.82 and 440.76 is: 608.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.24 : 728.82 = 440.76 : x
  2. Step 2: Convert to fraction form
    528.24/728.82 = 440.76/x
  3. Step 3: Cross multiply
    528.24x = 728.82 × 440.76
  4. Step 4: Simplify right side
    528.24x = 321,234.70
  5. Step 5: Solve for x
    x = 321,234.70/528.24
  6. Step 6: Final answer
    x = 608.12

Related Problems

Find fourth proportional to 264.12, 364.41 and 220.38
Half scale
Find fourth proportional to 1,056.48, 1,457.64 and 881.52
Double scale
Find fourth proportional to 529.24, 730.20 and 441.76
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.