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Finding the Fourth Proportional to 1,390.93, 2,087.16 and 569.78

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Solution

The fourth proportional to 1,390.93, 2,087.16 and 569.78 is: 854.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.93 : 2,087.16 = 569.78 : x
  2. Step 2: Convert to fraction form
    1,390.93/2,087.16 = 569.78/x
  3. Step 3: Cross multiply
    1,390.93x = 2,087.16 × 569.78
  4. Step 4: Simplify right side
    1,390.93x = 1,189,221.55
  5. Step 5: Solve for x
    x = 1,189,221.55/1,390.93
  6. Step 6: Final answer
    x = 854.98

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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.