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Finding the Fourth Proportional to 798.62, 1,102.20 and 578.30

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Solution

The fourth proportional to 798.62, 1,102.20 and 578.30 is: 798.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.62 : 1,102.20 = 578.30 : x
  2. Step 2: Convert to fraction form
    798.62/1,102.20 = 578.30/x
  3. Step 3: Cross multiply
    798.62x = 1,102.20 × 578.30
  4. Step 4: Simplify right side
    798.62x = 637,402.26
  5. Step 5: Solve for x
    x = 637,402.26/798.62
  6. Step 6: Final answer
    x = 798.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.