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Finding the Fourth Proportional to 1,297.89, 1,947.12 and 432.18

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Solution

The fourth proportional to 1,297.89, 1,947.12 and 432.18 is: 648.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.89 : 1,947.12 = 432.18 : x
  2. Step 2: Convert to fraction form
    1,297.89/1,947.12 = 432.18/x
  3. Step 3: Cross multiply
    1,297.89x = 1,947.12 × 432.18
  4. Step 4: Simplify right side
    1,297.89x = 841,506.32
  5. Step 5: Solve for x
    x = 841,506.32/1,297.89
  6. Step 6: Final answer
    x = 648.36

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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.