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Finding the Fourth Proportional to 581.98, 869.04 and 578.56

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Solution

The fourth proportional to 581.98, 869.04 and 578.56 is: 863.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.98 : 869.04 = 578.56 : x
  2. Step 2: Convert to fraction form
    581.98/869.04 = 578.56/x
  3. Step 3: Cross multiply
    581.98x = 869.04 × 578.56
  4. Step 4: Simplify right side
    581.98x = 502,791.78
  5. Step 5: Solve for x
    x = 502,791.78/581.98
  6. Step 6: Final answer
    x = 863.93

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Double scale
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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.