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Finding the Fourth Proportional to 582.29, 803.54 and 346.52

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Solution

The fourth proportional to 582.29, 803.54 and 346.52 is: 478.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.29 : 803.54 = 346.52 : x
  2. Step 2: Convert to fraction form
    582.29/803.54 = 346.52/x
  3. Step 3: Cross multiply
    582.29x = 803.54 × 346.52
  4. Step 4: Simplify right side
    582.29x = 278,436.93
  5. Step 5: Solve for x
    x = 278,436.93/582.29
  6. Step 6: Final answer
    x = 478.18

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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.