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Finding the Fourth Proportional to 785.66, 1,084.86 and 655.35

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Solution

The fourth proportional to 785.66, 1,084.86 and 655.35 is: 904.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.66 : 1,084.86 = 655.35 : x
  2. Step 2: Convert to fraction form
    785.66/1,084.86 = 655.35/x
  3. Step 3: Cross multiply
    785.66x = 1,084.86 × 655.35
  4. Step 4: Simplify right side
    785.66x = 710,958.93
  5. Step 5: Solve for x
    x = 710,958.93/785.66
  6. Step 6: Final answer
    x = 904.93

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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.