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Finding the Fourth Proportional to 1,332.15, 1,837.59 and 912.30

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Solution

The fourth proportional to 1,332.15, 1,837.59 and 912.30 is: 1,258.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.15 : 1,837.59 = 912.30 : x
  2. Step 2: Convert to fraction form
    1,332.15/1,837.59 = 912.30/x
  3. Step 3: Cross multiply
    1,332.15x = 1,837.59 × 912.30
  4. Step 4: Simplify right side
    1,332.15x = 1,676,433.36
  5. Step 5: Solve for x
    x = 1,676,433.36/1,332.15
  6. Step 6: Final answer
    x = 1,258.44

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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.