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Finding the Fourth Proportional to 774.08, 1,068.21 and 424.79

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Solution

The fourth proportional to 774.08, 1,068.21 and 424.79 is: 586.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.08 : 1,068.21 = 424.79 : x
  2. Step 2: Convert to fraction form
    774.08/1,068.21 = 424.79/x
  3. Step 3: Cross multiply
    774.08x = 1,068.21 × 424.79
  4. Step 4: Simplify right side
    774.08x = 453,764.93
  5. Step 5: Solve for x
    x = 453,764.93/774.08
  6. Step 6: Final answer
    x = 586.20

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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.