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Finding the Fourth Proportional to 1,207.50, 1,666.38 and 655.50

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Solution

The fourth proportional to 1,207.50, 1,666.38 and 655.50 is: 904.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.50 : 1,666.38 = 655.50 : x
  2. Step 2: Convert to fraction form
    1,207.50/1,666.38 = 655.50/x
  3. Step 3: Cross multiply
    1,207.50x = 1,666.38 × 655.50
  4. Step 4: Simplify right side
    1,207.50x = 1,092,312.09
  5. Step 5: Solve for x
    x = 1,092,312.09/1,207.50
  6. Step 6: Final answer
    x = 904.61

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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.