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Finding the Fourth Proportional to 877.84, 1,211.70 and 700.18

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Solution

The fourth proportional to 877.84, 1,211.70 and 700.18 is: 966.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.84 : 1,211.70 = 700.18 : x
  2. Step 2: Convert to fraction form
    877.84/1,211.70 = 700.18/x
  3. Step 3: Cross multiply
    877.84x = 1,211.70 × 700.18
  4. Step 4: Simplify right side
    877.84x = 848,408.11
  5. Step 5: Solve for x
    x = 848,408.11/877.84
  6. Step 6: Final answer
    x = 966.47

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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.