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Finding the Fourth Proportional to 774.20, 1,068.72 and 538.76

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Solution

The fourth proportional to 774.20, 1,068.72 and 538.76 is: 743.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.20 : 1,068.72 = 538.76 : x
  2. Step 2: Convert to fraction form
    774.20/1,068.72 = 538.76/x
  3. Step 3: Cross multiply
    774.20x = 1,068.72 × 538.76
  4. Step 4: Simplify right side
    774.20x = 575,783.59
  5. Step 5: Solve for x
    x = 575,783.59/774.20
  6. Step 6: Final answer
    x = 743.71

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Half scale
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Double scale
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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.