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Finding the Fourth Proportional to 839.24, 1,158.10 and 466.22

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Solution

The fourth proportional to 839.24, 1,158.10 and 466.22 is: 643.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.24 : 1,158.10 = 466.22 : x
  2. Step 2: Convert to fraction form
    839.24/1,158.10 = 466.22/x
  3. Step 3: Cross multiply
    839.24x = 1,158.10 × 466.22
  4. Step 4: Simplify right side
    839.24x = 539,929.38
  5. Step 5: Solve for x
    x = 539,929.38/839.24
  6. Step 6: Final answer
    x = 643.36

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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.