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Finding the Fourth Proportional to 913.75, 1,370.64 and 400.75

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Solution

The fourth proportional to 913.75, 1,370.64 and 400.75 is: 601.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.75 : 1,370.64 = 400.75 : x
  2. Step 2: Convert to fraction form
    913.75/1,370.64 = 400.75/x
  3. Step 3: Cross multiply
    913.75x = 1,370.64 × 400.75
  4. Step 4: Simplify right side
    913.75x = 549,283.98
  5. Step 5: Solve for x
    x = 549,283.98/913.75
  6. Step 6: Final answer
    x = 601.13

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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.