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Finding the Fourth Proportional to 1,010.12, 1,513.76 and 462.12

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Solution

The fourth proportional to 1,010.12, 1,513.76 and 462.12 is: 692.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.12 : 1,513.76 = 462.12 : x
  2. Step 2: Convert to fraction form
    1,010.12/1,513.76 = 462.12/x
  3. Step 3: Cross multiply
    1,010.12x = 1,513.76 × 462.12
  4. Step 4: Simplify right side
    1,010.12x = 699,538.77
  5. Step 5: Solve for x
    x = 699,538.77/1,010.12
  6. Step 6: Final answer
    x = 692.53

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.