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Finding the Fourth Proportional to 701.55, 1,048.23 and 677.34

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Solution

The fourth proportional to 701.55, 1,048.23 and 677.34 is: 1,012.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.55 : 1,048.23 = 677.34 : x
  2. Step 2: Convert to fraction form
    701.55/1,048.23 = 677.34/x
  3. Step 3: Cross multiply
    701.55x = 1,048.23 × 677.34
  4. Step 4: Simplify right side
    701.55x = 710,008.11
  5. Step 5: Solve for x
    x = 710,008.11/701.55
  6. Step 6: Final answer
    x = 1,012.06

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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.