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Finding the Fourth Proportional to 1,237.95, 1,856.63 and 416.01

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Solution

The fourth proportional to 1,237.95, 1,856.63 and 416.01 is: 623.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.95 : 1,856.63 = 416.01 : x
  2. Step 2: Convert to fraction form
    1,237.95/1,856.63 = 416.01/x
  3. Step 3: Cross multiply
    1,237.95x = 1,856.63 × 416.01
  4. Step 4: Simplify right side
    1,237.95x = 772,374.57
  5. Step 5: Solve for x
    x = 772,374.57/1,237.95
  6. Step 6: Final answer
    x = 623.91

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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.