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Finding the Fourth Proportional to 587.92, 810.31 and 512.76

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Solution

The fourth proportional to 587.92, 810.31 and 512.76 is: 706.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.92 : 810.31 = 512.76 : x
  2. Step 2: Convert to fraction form
    587.92/810.31 = 512.76/x
  3. Step 3: Cross multiply
    587.92x = 810.31 × 512.76
  4. Step 4: Simplify right side
    587.92x = 415,491.99
  5. Step 5: Solve for x
    x = 415,491.99/587.92
  6. Step 6: Final answer
    x = 706.72

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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.