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Finding the Fourth Proportional to 1,061.07, 1,464.36 and 618.88

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Solution

The fourth proportional to 1,061.07, 1,464.36 and 618.88 is: 854.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.07 : 1,464.36 = 618.88 : x
  2. Step 2: Convert to fraction form
    1,061.07/1,464.36 = 618.88/x
  3. Step 3: Cross multiply
    1,061.07x = 1,464.36 × 618.88
  4. Step 4: Simplify right side
    1,061.07x = 906,257.14
  5. Step 5: Solve for x
    x = 906,257.14/1,061.07
  6. Step 6: Final answer
    x = 854.10

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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.