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Finding the Fourth Proportional to 581.98, 869.45 and 374.86

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Solution

The fourth proportional to 581.98, 869.45 and 374.86 is: 560.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.98 : 869.45 = 374.86 : x
  2. Step 2: Convert to fraction form
    581.98/869.45 = 374.86/x
  3. Step 3: Cross multiply
    581.98x = 869.45 × 374.86
  4. Step 4: Simplify right side
    581.98x = 325,922.03
  5. Step 5: Solve for x
    x = 325,922.03/581.98
  6. Step 6: Final answer
    x = 560.02

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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.