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Finding the Fourth Proportional to 686.02, 947.10 and 434.02

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Solution

The fourth proportional to 686.02, 947.10 and 434.02 is: 599.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.02 : 947.10 = 434.02 : x
  2. Step 2: Convert to fraction form
    686.02/947.10 = 434.02/x
  3. Step 3: Cross multiply
    686.02x = 947.10 × 434.02
  4. Step 4: Simplify right side
    686.02x = 411,060.34
  5. Step 5: Solve for x
    x = 411,060.34/686.02
  6. Step 6: Final answer
    x = 599.20

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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.