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Finding the Fourth Proportional to 1,061.40, 1,464.60 and 619.16

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Solution

The fourth proportional to 1,061.40, 1,464.60 and 619.16 is: 854.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.40 : 1,464.60 = 619.16 : x
  2. Step 2: Convert to fraction form
    1,061.40/1,464.60 = 619.16/x
  3. Step 3: Cross multiply
    1,061.40x = 1,464.60 × 619.16
  4. Step 4: Simplify right side
    1,061.40x = 906,821.74
  5. Step 5: Solve for x
    x = 906,821.74/1,061.40
  6. Step 6: Final answer
    x = 854.36

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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.