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Finding the Fourth Proportional to 931.57, 1,285.57 and 582.19

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Solution

The fourth proportional to 931.57, 1,285.57 and 582.19 is: 803.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.57 : 1,285.57 = 582.19 : x
  2. Step 2: Convert to fraction form
    931.57/1,285.57 = 582.19/x
  3. Step 3: Cross multiply
    931.57x = 1,285.57 × 582.19
  4. Step 4: Simplify right side
    931.57x = 748,443.51
  5. Step 5: Solve for x
    x = 748,443.51/931.57
  6. Step 6: Final answer
    x = 803.42

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.