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Finding the Fourth Proportional to 1,337.68, 1,846.74 and 918.28

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Solution

The fourth proportional to 1,337.68, 1,846.74 and 918.28 is: 1,267.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.68 : 1,846.74 = 918.28 : x
  2. Step 2: Convert to fraction form
    1,337.68/1,846.74 = 918.28/x
  3. Step 3: Cross multiply
    1,337.68x = 1,846.74 × 918.28
  4. Step 4: Simplify right side
    1,337.68x = 1,695,824.41
  5. Step 5: Solve for x
    x = 1,695,824.41/1,337.68
  6. Step 6: Final answer
    x = 1,267.74

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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.