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Finding the Fourth Proportional to 880.64, 1,314.54 and 815.48

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Solution

The fourth proportional to 880.64, 1,314.54 and 815.48 is: 1,217.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.64 : 1,314.54 = 815.48 : x
  2. Step 2: Convert to fraction form
    880.64/1,314.54 = 815.48/x
  3. Step 3: Cross multiply
    880.64x = 1,314.54 × 815.48
  4. Step 4: Simplify right side
    880.64x = 1,071,981.08
  5. Step 5: Solve for x
    x = 1,071,981.08/880.64
  6. Step 6: Final answer
    x = 1,217.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.