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Finding the Fourth Proportional to 720.02, 1,080.37 and 258.15

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Solution

The fourth proportional to 720.02, 1,080.37 and 258.15 is: 387.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.02 : 1,080.37 = 258.15 : x
  2. Step 2: Convert to fraction form
    720.02/1,080.37 = 258.15/x
  3. Step 3: Cross multiply
    720.02x = 1,080.37 × 258.15
  4. Step 4: Simplify right side
    720.02x = 278,897.52
  5. Step 5: Solve for x
    x = 278,897.52/720.02
  6. Step 6: Final answer
    x = 387.35

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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.