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Finding the Fourth Proportional to 798.51, 1,100.85 and 549.40

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Solution

The fourth proportional to 798.51, 1,100.85 and 549.40 is: 757.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.51 : 1,100.85 = 549.40 : x
  2. Step 2: Convert to fraction form
    798.51/1,100.85 = 549.40/x
  3. Step 3: Cross multiply
    798.51x = 1,100.85 × 549.40
  4. Step 4: Simplify right side
    798.51x = 604,803.47
  5. Step 5: Solve for x
    x = 604,803.47/798.51
  6. Step 6: Final answer
    x = 757.41

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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.