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Finding the Fourth Proportional to 578.10, 867.15 and 521.40

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Solution

The fourth proportional to 578.10, 867.15 and 521.40 is: 782.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.10 : 867.15 = 521.40 : x
  2. Step 2: Convert to fraction form
    578.10/867.15 = 521.40/x
  3. Step 3: Cross multiply
    578.10x = 867.15 × 521.40
  4. Step 4: Simplify right side
    578.10x = 452,132.01
  5. Step 5: Solve for x
    x = 452,132.01/578.10
  6. Step 6: Final answer
    x = 782.10

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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.