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Finding the Fourth Proportional to 586.45, 879.24 and 355.28

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Solution

The fourth proportional to 586.45, 879.24 and 355.28 is: 532.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.45 : 879.24 = 355.28 : x
  2. Step 2: Convert to fraction form
    586.45/879.24 = 355.28/x
  3. Step 3: Cross multiply
    586.45x = 879.24 × 355.28
  4. Step 4: Simplify right side
    586.45x = 312,374.61
  5. Step 5: Solve for x
    x = 312,374.61/586.45
  6. Step 6: Final answer
    x = 532.66

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