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Finding the Fourth Proportional to 1,040.02, 1,434.03 and 777.58

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Solution

The fourth proportional to 1,040.02, 1,434.03 and 777.58 is: 1,072.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.02 : 1,434.03 = 777.58 : x
  2. Step 2: Convert to fraction form
    1,040.02/1,434.03 = 777.58/x
  3. Step 3: Cross multiply
    1,040.02x = 1,434.03 × 777.58
  4. Step 4: Simplify right side
    1,040.02x = 1,115,073.05
  5. Step 5: Solve for x
    x = 1,115,073.05/1,040.02
  6. Step 6: Final answer
    x = 1,072.17

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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.