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Finding the Fourth Proportional to 774.17, 1,068.31 and 424.79

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Solution

The fourth proportional to 774.17, 1,068.31 and 424.79 is: 586.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.17 : 1,068.31 = 424.79 : x
  2. Step 2: Convert to fraction form
    774.17/1,068.31 = 424.79/x
  3. Step 3: Cross multiply
    774.17x = 1,068.31 × 424.79
  4. Step 4: Simplify right side
    774.17x = 453,807.40
  5. Step 5: Solve for x
    x = 453,807.40/774.17
  6. Step 6: Final answer
    x = 586.19

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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.