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Finding the Fourth Proportional to 786.01, 1,084.32 and 610.14

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Solution

The fourth proportional to 786.01, 1,084.32 and 610.14 is: 841.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.01 : 1,084.32 = 610.14 : x
  2. Step 2: Convert to fraction form
    786.01/1,084.32 = 610.14/x
  3. Step 3: Cross multiply
    786.01x = 1,084.32 × 610.14
  4. Step 4: Simplify right side
    786.01x = 661,587.00
  5. Step 5: Solve for x
    x = 661,587.00/786.01
  6. Step 6: Final answer
    x = 841.70

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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.