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Finding the Fourth Proportional to 686.04, 947.28 and 462.18

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Solution

The fourth proportional to 686.04, 947.28 and 462.18 is: 638.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.04 : 947.28 = 462.18 : x
  2. Step 2: Convert to fraction form
    686.04/947.28 = 462.18/x
  3. Step 3: Cross multiply
    686.04x = 947.28 × 462.18
  4. Step 4: Simplify right side
    686.04x = 437,813.87
  5. Step 5: Solve for x
    x = 437,813.87/686.04
  6. Step 6: Final answer
    x = 638.18

Related Problems

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Half scale
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Double scale
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Similar ratio
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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.