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Finding the Fourth Proportional to 524.76, 724.26 and 328.36

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Solution

The fourth proportional to 524.76, 724.26 and 328.36 is: 453.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.76 : 724.26 = 328.36 : x
  2. Step 2: Convert to fraction form
    524.76/724.26 = 328.36/x
  3. Step 3: Cross multiply
    524.76x = 724.26 × 328.36
  4. Step 4: Simplify right side
    524.76x = 237,818.01
  5. Step 5: Solve for x
    x = 237,818.01/524.76
  6. Step 6: Final answer
    x = 453.19

Related Problems

Find fourth proportional to 262.38, 362.13 and 164.18
Half scale
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Double scale
Find fourth proportional to 525.76, 725.64 and 329.36
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.