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Finding the Fourth Proportional to 784.23, 1,079.78 and 637.35

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Solution

The fourth proportional to 784.23, 1,079.78 and 637.35 is: 877.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.23 : 1,079.78 = 637.35 : x
  2. Step 2: Convert to fraction form
    784.23/1,079.78 = 637.35/x
  3. Step 3: Cross multiply
    784.23x = 1,079.78 × 637.35
  4. Step 4: Simplify right side
    784.23x = 688,194.60
  5. Step 5: Solve for x
    x = 688,194.60/784.23
  6. Step 6: Final answer
    x = 877.54

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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.