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Finding the Fourth Proportional to 974.92, 1,345.35 and 582.16

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Solution

The fourth proportional to 974.92, 1,345.35 and 582.16 is: 803.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.92 : 1,345.35 = 582.16 : x
  2. Step 2: Convert to fraction form
    974.92/1,345.35 = 582.16/x
  3. Step 3: Cross multiply
    974.92x = 1,345.35 × 582.16
  4. Step 4: Simplify right side
    974.92x = 783,208.96
  5. Step 5: Solve for x
    x = 783,208.96/974.92
  6. Step 6: Final answer
    x = 803.36

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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.