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Finding the Fourth Proportional to 582.16, 871.80 and 365.08

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Solution

The fourth proportional to 582.16, 871.80 and 365.08 is: 546.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.16 : 871.80 = 365.08 : x
  2. Step 2: Convert to fraction form
    582.16/871.80 = 365.08/x
  3. Step 3: Cross multiply
    582.16x = 871.80 × 365.08
  4. Step 4: Simplify right side
    582.16x = 318,276.74
  5. Step 5: Solve for x
    x = 318,276.74/582.16
  6. Step 6: Final answer
    x = 546.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.