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Finding the Fourth Proportional to 653.80, 981.24 and 585.76

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Solution

The fourth proportional to 653.80, 981.24 and 585.76 is: 879.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.80 : 981.24 = 585.76 : x
  2. Step 2: Convert to fraction form
    653.80/981.24 = 585.76/x
  3. Step 3: Cross multiply
    653.80x = 981.24 × 585.76
  4. Step 4: Simplify right side
    653.80x = 574,771.14
  5. Step 5: Solve for x
    x = 574,771.14/653.80
  6. Step 6: Final answer
    x = 879.12

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Why These Related Problems?

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