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Finding the Fourth Proportional to 1,060.40, 1,588.42 and 626.50

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Solution

The fourth proportional to 1,060.40, 1,588.42 and 626.50 is: 938.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.40 : 1,588.42 = 626.50 : x
  2. Step 2: Convert to fraction form
    1,060.40/1,588.42 = 626.50/x
  3. Step 3: Cross multiply
    1,060.40x = 1,588.42 × 626.50
  4. Step 4: Simplify right side
    1,060.40x = 995,145.13
  5. Step 5: Solve for x
    x = 995,145.13/1,060.40
  6. Step 6: Final answer
    x = 938.46

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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.