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Finding the Fourth Proportional to 666.99, 999.14 and 458.10

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Solution

The fourth proportional to 666.99, 999.14 and 458.10 is: 686.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.99 : 999.14 = 458.10 : x
  2. Step 2: Convert to fraction form
    666.99/999.14 = 458.10/x
  3. Step 3: Cross multiply
    666.99x = 999.14 × 458.10
  4. Step 4: Simplify right side
    666.99x = 457,703.74
  5. Step 5: Solve for x
    x = 457,703.74/666.99
  6. Step 6: Final answer
    x = 686.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.