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Finding the Fourth Proportional to 1,440.45, 2,160.42 and 400.53

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Solution

The fourth proportional to 1,440.45, 2,160.42 and 400.53 is: 600.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.45 : 2,160.42 = 400.53 : x
  2. Step 2: Convert to fraction form
    1,440.45/2,160.42 = 400.53/x
  3. Step 3: Cross multiply
    1,440.45x = 2,160.42 × 400.53
  4. Step 4: Simplify right side
    1,440.45x = 865,302.22
  5. Step 5: Solve for x
    x = 865,302.22/1,440.45
  6. Step 6: Final answer
    x = 600.72

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1.5x scale

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.