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Finding the Fourth Proportional to 659.28, 910.95 and 520.50

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Solution

The fourth proportional to 659.28, 910.95 and 520.50 is: 719.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.28 : 910.95 = 520.50 : x
  2. Step 2: Convert to fraction form
    659.28/910.95 = 520.50/x
  3. Step 3: Cross multiply
    659.28x = 910.95 × 520.50
  4. Step 4: Simplify right side
    659.28x = 474,149.48
  5. Step 5: Solve for x
    x = 474,149.48/659.28
  6. Step 6: Final answer
    x = 719.19

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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.