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Finding the Fourth Proportional to 774.46, 1,068.78 and 442.86

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Solution

The fourth proportional to 774.46, 1,068.78 and 442.86 is: 611.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.46 : 1,068.78 = 442.86 : x
  2. Step 2: Convert to fraction form
    774.46/1,068.78 = 442.86/x
  3. Step 3: Cross multiply
    774.46x = 1,068.78 × 442.86
  4. Step 4: Simplify right side
    774.46x = 473,319.91
  5. Step 5: Solve for x
    x = 473,319.91/774.46
  6. Step 6: Final answer
    x = 611.16

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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.