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Finding the Fourth Proportional to 1,057.68, 1,586.85 and 647.10

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Solution

The fourth proportional to 1,057.68, 1,586.85 and 647.10 is: 970.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.68 : 1,586.85 = 647.10 : x
  2. Step 2: Convert to fraction form
    1,057.68/1,586.85 = 647.10/x
  3. Step 3: Cross multiply
    1,057.68x = 1,586.85 × 647.10
  4. Step 4: Simplify right side
    1,057.68x = 1,026,850.64
  5. Step 5: Solve for x
    x = 1,026,850.64/1,057.68
  6. Step 6: Final answer
    x = 970.85

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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.