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Finding the Fourth Proportional to 945.15, 1,415.85 and 815.13

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Solution

The fourth proportional to 945.15, 1,415.85 and 815.13 is: 1,221.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.15 : 1,415.85 = 815.13 : x
  2. Step 2: Convert to fraction form
    945.15/1,415.85 = 815.13/x
  3. Step 3: Cross multiply
    945.15x = 1,415.85 × 815.13
  4. Step 4: Simplify right side
    945.15x = 1,154,101.81
  5. Step 5: Solve for x
    x = 1,154,101.81/945.15
  6. Step 6: Final answer
    x = 1,221.08

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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.