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Finding the Fourth Proportional to 886.48, 1,330.16 and 578.24

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Solution

The fourth proportional to 886.48, 1,330.16 and 578.24 is: 867.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.48 : 1,330.16 = 578.24 : x
  2. Step 2: Convert to fraction form
    886.48/1,330.16 = 578.24/x
  3. Step 3: Cross multiply
    886.48x = 1,330.16 × 578.24
  4. Step 4: Simplify right side
    886.48x = 769,151.72
  5. Step 5: Solve for x
    x = 769,151.72/886.48
  6. Step 6: Final answer
    x = 867.65

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.