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Finding the Fourth Proportional to 1,069.52, 1,475.87 and 621.32

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Solution

The fourth proportional to 1,069.52, 1,475.87 and 621.32 is: 857.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.52 : 1,475.87 = 621.32 : x
  2. Step 2: Convert to fraction form
    1,069.52/1,475.87 = 621.32/x
  3. Step 3: Cross multiply
    1,069.52x = 1,475.87 × 621.32
  4. Step 4: Simplify right side
    1,069.52x = 916,989.10
  5. Step 5: Solve for x
    x = 916,989.10/1,069.52
  6. Step 6: Final answer
    x = 857.38

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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.