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Finding the Fourth Proportional to 1,089.82, 1,503.96 and 624.10

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Solution

The fourth proportional to 1,089.82, 1,503.96 and 624.10 is: 861.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.82 : 1,503.96 = 624.10 : x
  2. Step 2: Convert to fraction form
    1,089.82/1,503.96 = 624.10/x
  3. Step 3: Cross multiply
    1,089.82x = 1,503.96 × 624.10
  4. Step 4: Simplify right side
    1,089.82x = 938,621.44
  5. Step 5: Solve for x
    x = 938,621.44/1,089.82
  6. Step 6: Final answer
    x = 861.26

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Double scale
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1.5x scale

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.