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Finding the Fourth Proportional to 1,232.15, 1,699.95 and 790.30

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Solution

The fourth proportional to 1,232.15, 1,699.95 and 790.30 is: 1,090.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.15 : 1,699.95 = 790.30 : x
  2. Step 2: Convert to fraction form
    1,232.15/1,699.95 = 790.30/x
  3. Step 3: Cross multiply
    1,232.15x = 1,699.95 × 790.30
  4. Step 4: Simplify right side
    1,232.15x = 1,343,470.49
  5. Step 5: Solve for x
    x = 1,343,470.49/1,232.15
  6. Step 6: Final answer
    x = 1,090.35

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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.