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Finding the Fourth Proportional to 1,237.41, 1,854.14 and 578.57

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Solution

The fourth proportional to 1,237.41, 1,854.14 and 578.57 is: 866.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.41 : 1,854.14 = 578.57 : x
  2. Step 2: Convert to fraction form
    1,237.41/1,854.14 = 578.57/x
  3. Step 3: Cross multiply
    1,237.41x = 1,854.14 × 578.57
  4. Step 4: Simplify right side
    1,237.41x = 1,072,737.62
  5. Step 5: Solve for x
    x = 1,072,737.62/1,237.41
  6. Step 6: Final answer
    x = 866.92

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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.