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Finding the Fourth Proportional to 771.04, 1,063.72 and 560.76

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Solution

The fourth proportional to 771.04, 1,063.72 and 560.76 is: 773.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.04 : 1,063.72 = 560.76 : x
  2. Step 2: Convert to fraction form
    771.04/1,063.72 = 560.76/x
  3. Step 3: Cross multiply
    771.04x = 1,063.72 × 560.76
  4. Step 4: Simplify right side
    771.04x = 596,486.31
  5. Step 5: Solve for x
    x = 596,486.31/771.04
  6. Step 6: Final answer
    x = 773.61

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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.