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Finding the Fourth Proportional to 529.07, 730.64 and 436.13

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Solution

The fourth proportional to 529.07, 730.64 and 436.13 is: 602.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.07 : 730.64 = 436.13 : x
  2. Step 2: Convert to fraction form
    529.07/730.64 = 436.13/x
  3. Step 3: Cross multiply
    529.07x = 730.64 × 436.13
  4. Step 4: Simplify right side
    529.07x = 318,651.46
  5. Step 5: Solve for x
    x = 318,651.46/529.07
  6. Step 6: Final answer
    x = 602.28

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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.