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Finding the Fourth Proportional to 526.43, 725.69 and 337.35

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Solution

The fourth proportional to 526.43, 725.69 and 337.35 is: 465.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.43 : 725.69 = 337.35 : x
  2. Step 2: Convert to fraction form
    526.43/725.69 = 337.35/x
  3. Step 3: Cross multiply
    526.43x = 725.69 × 337.35
  4. Step 4: Simplify right side
    526.43x = 244,811.52
  5. Step 5: Solve for x
    x = 244,811.52/526.43
  6. Step 6: Final answer
    x = 465.04

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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.