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Finding the Fourth Proportional to 530.87, 794.41 and 391.71

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Solution

The fourth proportional to 530.87, 794.41 and 391.71 is: 586.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.87 : 794.41 = 391.71 : x
  2. Step 2: Convert to fraction form
    530.87/794.41 = 391.71/x
  3. Step 3: Cross multiply
    530.87x = 794.41 × 391.71
  4. Step 4: Simplify right side
    530.87x = 311,179.32
  5. Step 5: Solve for x
    x = 311,179.32/530.87
  6. Step 6: Final answer
    x = 586.17

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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.