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Finding the Fourth Proportional to 741.82, 1,024.23 and 462.12

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Solution

The fourth proportional to 741.82, 1,024.23 and 462.12 is: 638.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.82 : 1,024.23 = 462.12 : x
  2. Step 2: Convert to fraction form
    741.82/1,024.23 = 462.12/x
  3. Step 3: Cross multiply
    741.82x = 1,024.23 × 462.12
  4. Step 4: Simplify right side
    741.82x = 473,317.17
  5. Step 5: Solve for x
    x = 473,317.17/741.82
  6. Step 6: Final answer
    x = 638.05

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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.