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Finding the Fourth Proportional to 582.40, 869.33 and 505.90

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Solution

The fourth proportional to 582.40, 869.33 and 505.90 is: 755.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.40 : 869.33 = 505.90 : x
  2. Step 2: Convert to fraction form
    582.40/869.33 = 505.90/x
  3. Step 3: Cross multiply
    582.40x = 869.33 × 505.90
  4. Step 4: Simplify right side
    582.40x = 439,787.17
  5. Step 5: Solve for x
    x = 439,787.17/582.40
  6. Step 6: Final answer
    x = 755.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.