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Finding the Fourth Proportional to 686.74, 947.81 and 424.77

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Solution

The fourth proportional to 686.74, 947.81 and 424.77 is: 586.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.74 : 947.81 = 424.77 : x
  2. Step 2: Convert to fraction form
    686.74/947.81 = 424.77/x
  3. Step 3: Cross multiply
    686.74x = 947.81 × 424.77
  4. Step 4: Simplify right side
    686.74x = 402,601.25
  5. Step 5: Solve for x
    x = 402,601.25/686.74
  6. Step 6: Final answer
    x = 586.25

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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.