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Finding the Fourth Proportional to 530.24, 731.58 and 442.76

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Solution

The fourth proportional to 530.24, 731.58 and 442.76 is: 610.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.24 : 731.58 = 442.76 : x
  2. Step 2: Convert to fraction form
    530.24/731.58 = 442.76/x
  3. Step 3: Cross multiply
    530.24x = 731.58 × 442.76
  4. Step 4: Simplify right side
    530.24x = 323,914.36
  5. Step 5: Solve for x
    x = 323,914.36/530.24
  6. Step 6: Final answer
    x = 610.88

Related Problems

Find fourth proportional to 265.12, 365.79 and 221.38
Half scale
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Double scale
Find fourth proportional to 531.24, 732.96 and 443.76
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.