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Finding the Fourth Proportional to 1,114.99, 1,538.15 and 815.77

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Solution

The fourth proportional to 1,114.99, 1,538.15 and 815.77 is: 1,125.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.99 : 1,538.15 = 815.77 : x
  2. Step 2: Convert to fraction form
    1,114.99/1,538.15 = 815.77/x
  3. Step 3: Cross multiply
    1,114.99x = 1,538.15 × 815.77
  4. Step 4: Simplify right side
    1,114.99x = 1,254,764.86
  5. Step 5: Solve for x
    x = 1,254,764.86/1,114.99
  6. Step 6: Final answer
    x = 1,125.36

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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.