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Finding the Fourth Proportional to 582.66, 803.70 and 396.27

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Solution

The fourth proportional to 582.66, 803.70 and 396.27 is: 546.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.66 : 803.70 = 396.27 : x
  2. Step 2: Convert to fraction form
    582.66/803.70 = 396.27/x
  3. Step 3: Cross multiply
    582.66x = 803.70 × 396.27
  4. Step 4: Simplify right side
    582.66x = 318,482.20
  5. Step 5: Solve for x
    x = 318,482.20/582.66
  6. Step 6: Final answer
    x = 546.60

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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.