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Finding the Fourth Proportional to 931.26, 1,285.12 and 582.14

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Solution

The fourth proportional to 931.26, 1,285.12 and 582.14 is: 803.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.26 : 1,285.12 = 582.14 : x
  2. Step 2: Convert to fraction form
    931.26/1,285.12 = 582.14/x
  3. Step 3: Cross multiply
    931.26x = 1,285.12 × 582.14
  4. Step 4: Simplify right side
    931.26x = 748,119.76
  5. Step 5: Solve for x
    x = 748,119.76/931.26
  6. Step 6: Final answer
    x = 803.34

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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.