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Finding the Fourth Proportional to 529.47, 729.57 and 405.12

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Solution

The fourth proportional to 529.47, 729.57 and 405.12 is: 558.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.47 : 729.57 = 405.12 : x
  2. Step 2: Convert to fraction form
    529.47/729.57 = 405.12/x
  3. Step 3: Cross multiply
    529.47x = 729.57 × 405.12
  4. Step 4: Simplify right side
    529.47x = 295,563.40
  5. Step 5: Solve for x
    x = 295,563.40/529.47
  6. Step 6: Final answer
    x = 558.23

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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.