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Finding the Fourth Proportional to 1,134.08, 1,701.42 and 647.47

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Solution

The fourth proportional to 1,134.08, 1,701.42 and 647.47 is: 971.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.08 : 1,701.42 = 647.47 : x
  2. Step 2: Convert to fraction form
    1,134.08/1,701.42 = 647.47/x
  3. Step 3: Cross multiply
    1,134.08x = 1,701.42 × 647.47
  4. Step 4: Simplify right side
    1,134.08x = 1,101,621.75
  5. Step 5: Solve for x
    x = 1,101,621.75/1,134.08
  6. Step 6: Final answer
    x = 971.38

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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.