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Finding the Fourth Proportional to 785.02, 1,177.55 and 373.95

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Solution

The fourth proportional to 785.02, 1,177.55 and 373.95 is: 560.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.02 : 1,177.55 = 373.95 : x
  2. Step 2: Convert to fraction form
    785.02/1,177.55 = 373.95/x
  3. Step 3: Cross multiply
    785.02x = 1,177.55 × 373.95
  4. Step 4: Simplify right side
    785.02x = 440,338.93
  5. Step 5: Solve for x
    x = 440,338.93/785.02
  6. Step 6: Final answer
    x = 560.93

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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.