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Finding the Fourth Proportional to 1,160.64, 1,602.08 and 747.36

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Solution

The fourth proportional to 1,160.64, 1,602.08 and 747.36 is: 1,031.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.64 : 1,602.08 = 747.36 : x
  2. Step 2: Convert to fraction form
    1,160.64/1,602.08 = 747.36/x
  3. Step 3: Cross multiply
    1,160.64x = 1,602.08 × 747.36
  4. Step 4: Simplify right side
    1,160.64x = 1,197,330.51
  5. Step 5: Solve for x
    x = 1,197,330.51/1,160.64
  6. Step 6: Final answer
    x = 1,031.61

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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.