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Finding the Fourth Proportional to 785.60, 1,084.16 and 589.76

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Solution

The fourth proportional to 785.60, 1,084.16 and 589.76 is: 813.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.60 : 1,084.16 = 589.76 : x
  2. Step 2: Convert to fraction form
    785.60/1,084.16 = 589.76/x
  3. Step 3: Cross multiply
    785.60x = 1,084.16 × 589.76
  4. Step 4: Simplify right side
    785.60x = 639,394.20
  5. Step 5: Solve for x
    x = 639,394.20/785.60
  6. Step 6: Final answer
    x = 813.89

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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.