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Finding the Fourth Proportional to 1,237.39, 1,856.15 and 415.59

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Solution

The fourth proportional to 1,237.39, 1,856.15 and 415.59 is: 623.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.39 : 1,856.15 = 415.59 : x
  2. Step 2: Convert to fraction form
    1,237.39/1,856.15 = 415.59/x
  3. Step 3: Cross multiply
    1,237.39x = 1,856.15 × 415.59
  4. Step 4: Simplify right side
    1,237.39x = 771,386.02
  5. Step 5: Solve for x
    x = 771,386.02/1,237.39
  6. Step 6: Final answer
    x = 623.40

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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.