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Finding the Fourth Proportional to 774.60, 1,068.96 and 425.28

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Solution

The fourth proportional to 774.60, 1,068.96 and 425.28 is: 586.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.60 : 1,068.96 = 425.28 : x
  2. Step 2: Convert to fraction form
    774.60/1,068.96 = 425.28/x
  3. Step 3: Cross multiply
    774.60x = 1,068.96 × 425.28
  4. Step 4: Simplify right side
    774.60x = 454,607.31
  5. Step 5: Solve for x
    x = 454,607.31/774.60
  6. Step 6: Final answer
    x = 586.89

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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.