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Finding the Fourth Proportional to 784.65, 1,177.15 and 373.22

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Solution

The fourth proportional to 784.65, 1,177.15 and 373.22 is: 559.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.65 : 1,177.15 = 373.22 : x
  2. Step 2: Convert to fraction form
    784.65/1,177.15 = 373.22/x
  3. Step 3: Cross multiply
    784.65x = 1,177.15 × 373.22
  4. Step 4: Simplify right side
    784.65x = 439,334.30
  5. Step 5: Solve for x
    x = 439,334.30/784.65
  6. Step 6: Final answer
    x = 559.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.