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Finding the Fourth Proportional to 761.38, 1,049.56 and 512.14

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Solution

The fourth proportional to 761.38, 1,049.56 and 512.14 is: 705.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.38 : 1,049.56 = 512.14 : x
  2. Step 2: Convert to fraction form
    761.38/1,049.56 = 512.14/x
  3. Step 3: Cross multiply
    761.38x = 1,049.56 × 512.14
  4. Step 4: Simplify right side
    761.38x = 537,521.66
  5. Step 5: Solve for x
    x = 537,521.66/761.38
  6. Step 6: Final answer
    x = 705.98

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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.