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Finding the Fourth Proportional to 765.05, 1,055.78 and 415.74

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Solution

The fourth proportional to 765.05, 1,055.78 and 415.74 is: 573.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.05 : 1,055.78 = 415.74 : x
  2. Step 2: Convert to fraction form
    765.05/1,055.78 = 415.74/x
  3. Step 3: Cross multiply
    765.05x = 1,055.78 × 415.74
  4. Step 4: Simplify right side
    765.05x = 438,931.02
  5. Step 5: Solve for x
    x = 438,931.02/765.05
  6. Step 6: Final answer
    x = 573.73

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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.