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Finding the Fourth Proportional to 1,059.68, 1,462.38 and 634.76

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Solution

The fourth proportional to 1,059.68, 1,462.38 and 634.76 is: 875.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.68 : 1,462.38 = 634.76 : x
  2. Step 2: Convert to fraction form
    1,059.68/1,462.38 = 634.76/x
  3. Step 3: Cross multiply
    1,059.68x = 1,462.38 × 634.76
  4. Step 4: Simplify right side
    1,059.68x = 928,260.33
  5. Step 5: Solve for x
    x = 928,260.33/1,059.68
  6. Step 6: Final answer
    x = 875.98

Related Problems

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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.