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Finding the Fourth Proportional to 787.76, 1,085.28 and 566.32

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Solution

The fourth proportional to 787.76, 1,085.28 and 566.32 is: 780.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.76 : 1,085.28 = 566.32 : x
  2. Step 2: Convert to fraction form
    787.76/1,085.28 = 566.32/x
  3. Step 3: Cross multiply
    787.76x = 1,085.28 × 566.32
  4. Step 4: Simplify right side
    787.76x = 614,615.77
  5. Step 5: Solve for x
    x = 614,615.77/787.76
  6. Step 6: Final answer
    x = 780.21

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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.