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Finding the Fourth Proportional to 666.70, 916.04 and 624.04

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Solution

The fourth proportional to 666.70, 916.04 and 624.04 is: 857.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.70 : 916.04 = 624.04 : x
  2. Step 2: Convert to fraction form
    666.70/916.04 = 624.04/x
  3. Step 3: Cross multiply
    666.70x = 916.04 × 624.04
  4. Step 4: Simplify right side
    666.70x = 571,645.60
  5. Step 5: Solve for x
    x = 571,645.60/666.70
  6. Step 6: Final answer
    x = 857.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.