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Finding the Fourth Proportional to 1,009.18, 1,393.15 and 677.48

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Solution

The fourth proportional to 1,009.18, 1,393.15 and 677.48 is: 935.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.18 : 1,393.15 = 677.48 : x
  2. Step 2: Convert to fraction form
    1,009.18/1,393.15 = 677.48/x
  3. Step 3: Cross multiply
    1,009.18x = 1,393.15 × 677.48
  4. Step 4: Simplify right side
    1,009.18x = 943,831.26
  5. Step 5: Solve for x
    x = 943,831.26/1,009.18
  6. Step 6: Final answer
    x = 935.25

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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.