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Finding the Fourth Proportional to 528.53, 729.12 and 342.08

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Solution

The fourth proportional to 528.53, 729.12 and 342.08 is: 471.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.53 : 729.12 = 342.08 : x
  2. Step 2: Convert to fraction form
    528.53/729.12 = 342.08/x
  3. Step 3: Cross multiply
    528.53x = 729.12 × 342.08
  4. Step 4: Simplify right side
    528.53x = 249,418.13
  5. Step 5: Solve for x
    x = 249,418.13/528.53
  6. Step 6: Final answer
    x = 471.91

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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.