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Finding the Fourth Proportional to 526.49, 727.07 and 434.15

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Solution

The fourth proportional to 526.49, 727.07 and 434.15 is: 599.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.49 : 727.07 = 434.15 : x
  2. Step 2: Convert to fraction form
    526.49/727.07 = 434.15/x
  3. Step 3: Cross multiply
    526.49x = 727.07 × 434.15
  4. Step 4: Simplify right side
    526.49x = 315,651.63
  5. Step 5: Solve for x
    x = 315,651.63/526.49
  6. Step 6: Final answer
    x = 599.55

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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.