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Finding the Fourth Proportional to 1,142.17, 1,575.92 and 670.14

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Solution

The fourth proportional to 1,142.17, 1,575.92 and 670.14 is: 924.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.17 : 1,575.92 = 670.14 : x
  2. Step 2: Convert to fraction form
    1,142.17/1,575.92 = 670.14/x
  3. Step 3: Cross multiply
    1,142.17x = 1,575.92 × 670.14
  4. Step 4: Simplify right side
    1,142.17x = 1,056,088.70
  5. Step 5: Solve for x
    x = 1,056,088.70/1,142.17
  6. Step 6: Final answer
    x = 924.64

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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.