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Finding the Fourth Proportional to 985.20, 1,358.96 and 705.04

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Solution

The fourth proportional to 985.20, 1,358.96 and 705.04 is: 972.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.20 : 1,358.96 = 705.04 : x
  2. Step 2: Convert to fraction form
    985.20/1,358.96 = 705.04/x
  3. Step 3: Cross multiply
    985.20x = 1,358.96 × 705.04
  4. Step 4: Simplify right side
    985.20x = 958,121.16
  5. Step 5: Solve for x
    x = 958,121.16/985.20
  6. Step 6: Final answer
    x = 972.51

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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.