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Finding the Fourth Proportional to 1,030.52, 1,421.78 and 611.02

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Solution

The fourth proportional to 1,030.52, 1,421.78 and 611.02 is: 843.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.52 : 1,421.78 = 611.02 : x
  2. Step 2: Convert to fraction form
    1,030.52/1,421.78 = 611.02/x
  3. Step 3: Cross multiply
    1,030.52x = 1,421.78 × 611.02
  4. Step 4: Simplify right side
    1,030.52x = 868,736.02
  5. Step 5: Solve for x
    x = 868,736.02/1,030.52
  6. Step 6: Final answer
    x = 843.01

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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.