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Finding the Fourth Proportional to 526.17, 726.37 and 407.87

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Solution

The fourth proportional to 526.17, 726.37 and 407.87 is: 563.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.17 : 726.37 = 407.87 : x
  2. Step 2: Convert to fraction form
    526.17/726.37 = 407.87/x
  3. Step 3: Cross multiply
    526.17x = 726.37 × 407.87
  4. Step 4: Simplify right side
    526.17x = 296,267.88
  5. Step 5: Solve for x
    x = 296,267.88/526.17
  6. Step 6: Final answer
    x = 563.07

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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.