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Finding the Fourth Proportional to 686.52, 947.79 and 434.79

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Solution

The fourth proportional to 686.52, 947.79 and 434.79 is: 600.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.52 : 947.79 = 434.79 : x
  2. Step 2: Convert to fraction form
    686.52/947.79 = 434.79/x
  3. Step 3: Cross multiply
    686.52x = 947.79 × 434.79
  4. Step 4: Simplify right side
    686.52x = 412,089.61
  5. Step 5: Solve for x
    x = 412,089.61/686.52
  6. Step 6: Final answer
    x = 600.26

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1.5x scale

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.