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Finding the Fourth Proportional to 782.36, 1,080.08 and 572.32

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Solution

The fourth proportional to 782.36, 1,080.08 and 572.32 is: 790.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.36 : 1,080.08 = 572.32 : x
  2. Step 2: Convert to fraction form
    782.36/1,080.08 = 572.32/x
  3. Step 3: Cross multiply
    782.36x = 1,080.08 × 572.32
  4. Step 4: Simplify right side
    782.36x = 618,151.39
  5. Step 5: Solve for x
    x = 618,151.39/782.36
  6. Step 6: Final answer
    x = 790.11

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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.