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Finding the Fourth Proportional to 1,038.72, 1,556.28 and 712.92

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Solution

The fourth proportional to 1,038.72, 1,556.28 and 712.92 is: 1,068.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.72 : 1,556.28 = 712.92 : x
  2. Step 2: Convert to fraction form
    1,038.72/1,556.28 = 712.92/x
  3. Step 3: Cross multiply
    1,038.72x = 1,556.28 × 712.92
  4. Step 4: Simplify right side
    1,038.72x = 1,109,503.14
  5. Step 5: Solve for x
    x = 1,109,503.14/1,038.72
  6. Step 6: Final answer
    x = 1,068.14

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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.