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Finding the Fourth Proportional to 1,440.34, 1,987.08 and 880.60

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Solution

The fourth proportional to 1,440.34, 1,987.08 and 880.60 is: 1,214.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.34 : 1,987.08 = 880.60 : x
  2. Step 2: Convert to fraction form
    1,440.34/1,987.08 = 880.60/x
  3. Step 3: Cross multiply
    1,440.34x = 1,987.08 × 880.60
  4. Step 4: Simplify right side
    1,440.34x = 1,749,822.65
  5. Step 5: Solve for x
    x = 1,749,822.65/1,440.34
  6. Step 6: Final answer
    x = 1,214.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.