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Finding the Fourth Proportional to 1,038.31, 1,556.65 and 652.75

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Solution

The fourth proportional to 1,038.31, 1,556.65 and 652.75 is: 978.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.31 : 1,556.65 = 652.75 : x
  2. Step 2: Convert to fraction form
    1,038.31/1,556.65 = 652.75/x
  3. Step 3: Cross multiply
    1,038.31x = 1,556.65 × 652.75
  4. Step 4: Simplify right side
    1,038.31x = 1,016,103.29
  5. Step 5: Solve for x
    x = 1,016,103.29/1,038.31
  6. Step 6: Final answer
    x = 978.61

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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.