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Finding the Fourth Proportional to 1,141.01, 1,708.75 and 652.58

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Solution

The fourth proportional to 1,141.01, 1,708.75 and 652.58 is: 977.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.01 : 1,708.75 = 652.58 : x
  2. Step 2: Convert to fraction form
    1,141.01/1,708.75 = 652.58/x
  3. Step 3: Cross multiply
    1,141.01x = 1,708.75 × 652.58
  4. Step 4: Simplify right side
    1,141.01x = 1,115,085.90
  5. Step 5: Solve for x
    x = 1,115,085.90/1,141.01
  6. Step 6: Final answer
    x = 977.28

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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.