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Finding the Fourth Proportional to 880.68, 1,214.90 and 582.24

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Solution

The fourth proportional to 880.68, 1,214.90 and 582.24 is: 803.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.68 : 1,214.90 = 582.24 : x
  2. Step 2: Convert to fraction form
    880.68/1,214.90 = 582.24/x
  3. Step 3: Cross multiply
    880.68x = 1,214.90 × 582.24
  4. Step 4: Simplify right side
    880.68x = 707,363.38
  5. Step 5: Solve for x
    x = 707,363.38/880.68
  6. Step 6: Final answer
    x = 803.20

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.