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Finding the Fourth Proportional to 774.20, 1,068.38 and 463.70

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Solution

The fourth proportional to 774.20, 1,068.38 and 463.70 is: 639.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.20 : 1,068.38 = 463.70 : x
  2. Step 2: Convert to fraction form
    774.20/1,068.38 = 463.70/x
  3. Step 3: Cross multiply
    774.20x = 1,068.38 × 463.70
  4. Step 4: Simplify right side
    774.20x = 495,400.15
  5. Step 5: Solve for x
    x = 495,400.15/774.20
  6. Step 6: Final answer
    x = 639.89

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1.5x scale

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.