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Finding the Fourth Proportional to 582.15, 803.61 and 405.57

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Solution

The fourth proportional to 582.15, 803.61 and 405.57 is: 559.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.15 : 803.61 = 405.57 : x
  2. Step 2: Convert to fraction form
    582.15/803.61 = 405.57/x
  3. Step 3: Cross multiply
    582.15x = 803.61 × 405.57
  4. Step 4: Simplify right side
    582.15x = 325,920.11
  5. Step 5: Solve for x
    x = 325,920.11/582.15
  6. Step 6: Final answer
    x = 559.86

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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.