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Finding the Fourth Proportional to 877.20, 1,210.44 and 702.48

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Solution

The fourth proportional to 877.20, 1,210.44 and 702.48 is: 969.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.20 : 1,210.44 = 702.48 : x
  2. Step 2: Convert to fraction form
    877.20/1,210.44 = 702.48/x
  3. Step 3: Cross multiply
    877.20x = 1,210.44 × 702.48
  4. Step 4: Simplify right side
    877.20x = 850,309.89
  5. Step 5: Solve for x
    x = 850,309.89/877.20
  6. Step 6: Final answer
    x = 969.35

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1.5x scale

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.