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Finding the Fourth Proportional to 870.87, 1,202.01 and 591.57

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Solution

The fourth proportional to 870.87, 1,202.01 and 591.57 is: 816.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.87 : 1,202.01 = 591.57 : x
  2. Step 2: Convert to fraction form
    870.87/1,202.01 = 591.57/x
  3. Step 3: Cross multiply
    870.87x = 1,202.01 × 591.57
  4. Step 4: Simplify right side
    870.87x = 711,073.06
  5. Step 5: Solve for x
    x = 711,073.06/870.87
  6. Step 6: Final answer
    x = 816.51

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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.