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Finding the Fourth Proportional to 846.87, 1,170.15 and 652.06

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Solution

The fourth proportional to 846.87, 1,170.15 and 652.06 is: 900.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.87 : 1,170.15 = 652.06 : x
  2. Step 2: Convert to fraction form
    846.87/1,170.15 = 652.06/x
  3. Step 3: Cross multiply
    846.87x = 1,170.15 × 652.06
  4. Step 4: Simplify right side
    846.87x = 763,008.01
  5. Step 5: Solve for x
    x = 763,008.01/846.87
  6. Step 6: Final answer
    x = 900.97

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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.