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Finding the Fourth Proportional to 784.49, 1,177.50 and 373.91

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Solution

The fourth proportional to 784.49, 1,177.50 and 373.91 is: 561.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.49 : 1,177.50 = 373.91 : x
  2. Step 2: Convert to fraction form
    784.49/1,177.50 = 373.91/x
  3. Step 3: Cross multiply
    784.49x = 1,177.50 × 373.91
  4. Step 4: Simplify right side
    784.49x = 440,279.03
  5. Step 5: Solve for x
    x = 440,279.03/784.49
  6. Step 6: Final answer
    x = 561.23

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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.