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Finding the Fourth Proportional to 1,377.59, 2,065.49 and 499.93

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Solution

The fourth proportional to 1,377.59, 2,065.49 and 499.93 is: 749.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.59 : 2,065.49 = 499.93 : x
  2. Step 2: Convert to fraction form
    1,377.59/2,065.49 = 499.93/x
  3. Step 3: Cross multiply
    1,377.59x = 2,065.49 × 499.93
  4. Step 4: Simplify right side
    1,377.59x = 1,032,587.59
  5. Step 5: Solve for x
    x = 1,032,587.59/1,377.59
  6. Step 6: Final answer
    x = 749.56

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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.