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Finding the Fourth Proportional to 581.15, 867.71 and 522.85

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Solution

The fourth proportional to 581.15, 867.71 and 522.85 is: 780.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.15 : 867.71 = 522.85 : x
  2. Step 2: Convert to fraction form
    581.15/867.71 = 522.85/x
  3. Step 3: Cross multiply
    581.15x = 867.71 × 522.85
  4. Step 4: Simplify right side
    581.15x = 453,682.17
  5. Step 5: Solve for x
    x = 453,682.17/581.15
  6. Step 6: Final answer
    x = 780.66

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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.