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Finding the Fourth Proportional to 877.04, 1,309.10 and 803.98

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Solution

The fourth proportional to 877.04, 1,309.10 and 803.98 is: 1,200.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.04 : 1,309.10 = 803.98 : x
  2. Step 2: Convert to fraction form
    877.04/1,309.10 = 803.98/x
  3. Step 3: Cross multiply
    877.04x = 1,309.10 × 803.98
  4. Step 4: Simplify right side
    877.04x = 1,052,486.20
  5. Step 5: Solve for x
    x = 1,052,486.20/877.04
  6. Step 6: Final answer
    x = 1,200.05

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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.