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Finding the Fourth Proportional to 785.69, 1,176.92 and 373.58

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Solution

The fourth proportional to 785.69, 1,176.92 and 373.58 is: 559.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.69 : 1,176.92 = 373.58 : x
  2. Step 2: Convert to fraction form
    785.69/1,176.92 = 373.58/x
  3. Step 3: Cross multiply
    785.69x = 1,176.92 × 373.58
  4. Step 4: Simplify right side
    785.69x = 439,666.02
  5. Step 5: Solve for x
    x = 439,666.02/785.69
  6. Step 6: Final answer
    x = 559.60

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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.