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Finding the Fourth Proportional to 582.75, 803.90 and 396.18

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Solution

The fourth proportional to 582.75, 803.90 and 396.18 is: 546.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.75 : 803.90 = 396.18 : x
  2. Step 2: Convert to fraction form
    582.75/803.90 = 396.18/x
  3. Step 3: Cross multiply
    582.75x = 803.90 × 396.18
  4. Step 4: Simplify right side
    582.75x = 318,489.10
  5. Step 5: Solve for x
    x = 318,489.10/582.75
  6. Step 6: Final answer
    x = 546.53

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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.