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Finding the Fourth Proportional to 686.15, 947.34 and 424.62

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Solution

The fourth proportional to 686.15, 947.34 and 424.62 is: 586.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.15 : 947.34 = 424.62 : x
  2. Step 2: Convert to fraction form
    686.15/947.34 = 424.62/x
  3. Step 3: Cross multiply
    686.15x = 947.34 × 424.62
  4. Step 4: Simplify right side
    686.15x = 402,259.51
  5. Step 5: Solve for x
    x = 402,259.51/686.15
  6. Step 6: Final answer
    x = 586.26

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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.