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Finding the Fourth Proportional to 1,014.52, 1,520.50 and 689.08

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Solution

The fourth proportional to 1,014.52, 1,520.50 and 689.08 is: 1,032.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.52 : 1,520.50 = 689.08 : x
  2. Step 2: Convert to fraction form
    1,014.52/1,520.50 = 689.08/x
  3. Step 3: Cross multiply
    1,014.52x = 1,520.50 × 689.08
  4. Step 4: Simplify right side
    1,014.52x = 1,047,746.14
  5. Step 5: Solve for x
    x = 1,047,746.14/1,014.52
  6. Step 6: Final answer
    x = 1,032.75

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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.