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Finding the Fourth Proportional to 798.50, 1,192.19 and 749.30

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Solution

The fourth proportional to 798.50, 1,192.19 and 749.30 is: 1,118.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.50 : 1,192.19 = 749.30 : x
  2. Step 2: Convert to fraction form
    798.50/1,192.19 = 749.30/x
  3. Step 3: Cross multiply
    798.50x = 1,192.19 × 749.30
  4. Step 4: Simplify right side
    798.50x = 893,298.26
  5. Step 5: Solve for x
    x = 893,298.26/798.50
  6. Step 6: Final answer
    x = 1,118.72

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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.