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Finding the Fourth Proportional to 786, 1,084.20 and 631.12

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Solution

The fourth proportional to 786, 1,084.20 and 631.12 is: 870.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    786 : 1,084.20 = 631.12 : x
  2. Step 2: Convert to fraction form
    786/1,084.20 = 631.12/x
  3. Step 3: Cross multiply
    786x = 1,084.20 × 631.12
  4. Step 4: Simplify right side
    786x = 684,260.30
  5. Step 5: Solve for x
    x = 684,260.30/786
  6. Step 6: Final answer
    x = 870.56

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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.