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Finding the Fourth Proportional to 1,061.04, 1,464.56 and 619.04

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Solution

The fourth proportional to 1,061.04, 1,464.56 and 619.04 is: 854.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.04 : 1,464.56 = 619.04 : x
  2. Step 2: Convert to fraction form
    1,061.04/1,464.56 = 619.04/x
  3. Step 3: Cross multiply
    1,061.04x = 1,464.56 × 619.04
  4. Step 4: Simplify right side
    1,061.04x = 906,621.22
  5. Step 5: Solve for x
    x = 906,621.22/1,061.04
  6. Step 6: Final answer
    x = 854.46

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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.