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Finding the Fourth Proportional to 526.88, 725.88 and 416.31

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Solution

The fourth proportional to 526.88, 725.88 and 416.31 is: 573.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.88 : 725.88 = 416.31 : x
  2. Step 2: Convert to fraction form
    526.88/725.88 = 416.31/x
  3. Step 3: Cross multiply
    526.88x = 725.88 × 416.31
  4. Step 4: Simplify right side
    526.88x = 302,191.10
  5. Step 5: Solve for x
    x = 302,191.10/526.88
  6. Step 6: Final answer
    x = 573.55

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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.