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Finding the Fourth Proportional to 1,112.36, 1,535.02 and 615.02

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Solution

The fourth proportional to 1,112.36, 1,535.02 and 615.02 is: 848.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.36 : 1,535.02 = 615.02 : x
  2. Step 2: Convert to fraction form
    1,112.36/1,535.02 = 615.02/x
  3. Step 3: Cross multiply
    1,112.36x = 1,535.02 × 615.02
  4. Step 4: Simplify right side
    1,112.36x = 944,058.79
  5. Step 5: Solve for x
    x = 944,058.79/1,112.36
  6. Step 6: Final answer
    x = 848.70

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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.