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Finding the Fourth Proportional to 730.08, 1,005.12 and 659.52

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Solution

The fourth proportional to 730.08, 1,005.12 and 659.52 is: 907.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.08 : 1,005.12 = 659.52 : x
  2. Step 2: Convert to fraction form
    730.08/1,005.12 = 659.52/x
  3. Step 3: Cross multiply
    730.08x = 1,005.12 × 659.52
  4. Step 4: Simplify right side
    730.08x = 662,896.74
  5. Step 5: Solve for x
    x = 662,896.74/730.08
  6. Step 6: Final answer
    x = 907.98

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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.