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Finding the Fourth Proportional to 784.13, 1,084.14 and 749.70

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Solution

The fourth proportional to 784.13, 1,084.14 and 749.70 is: 1,036.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.13 : 1,084.14 = 749.70 : x
  2. Step 2: Convert to fraction form
    784.13/1,084.14 = 749.70/x
  3. Step 3: Cross multiply
    784.13x = 1,084.14 × 749.70
  4. Step 4: Simplify right side
    784.13x = 812,779.76
  5. Step 5: Solve for x
    x = 812,779.76/784.13
  6. Step 6: Final answer
    x = 1,036.54

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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.