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Finding the Fourth Proportional to 846.20, 1,167.62 and 473.18

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Solution

The fourth proportional to 846.20, 1,167.62 and 473.18 is: 652.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.20 : 1,167.62 = 473.18 : x
  2. Step 2: Convert to fraction form
    846.20/1,167.62 = 473.18/x
  3. Step 3: Cross multiply
    846.20x = 1,167.62 × 473.18
  4. Step 4: Simplify right side
    846.20x = 552,486.23
  5. Step 5: Solve for x
    x = 552,486.23/846.20
  6. Step 6: Final answer
    x = 652.91

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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.