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Finding the Fourth Proportional to 1,145.12, 1,580.08 and 702.88

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Solution

The fourth proportional to 1,145.12, 1,580.08 and 702.88 is: 969.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.12 : 1,580.08 = 702.88 : x
  2. Step 2: Convert to fraction form
    1,145.12/1,580.08 = 702.88/x
  3. Step 3: Cross multiply
    1,145.12x = 1,580.08 × 702.88
  4. Step 4: Simplify right side
    1,145.12x = 1,110,606.63
  5. Step 5: Solve for x
    x = 1,110,606.63/1,145.12
  6. Step 6: Final answer
    x = 969.86

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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.