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Finding the Fourth Proportional to 1,030.60, 1,420.86 and 698.44

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Solution

The fourth proportional to 1,030.60, 1,420.86 and 698.44 is: 962.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.60 : 1,420.86 = 698.44 : x
  2. Step 2: Convert to fraction form
    1,030.60/1,420.86 = 698.44/x
  3. Step 3: Cross multiply
    1,030.60x = 1,420.86 × 698.44
  4. Step 4: Simplify right side
    1,030.60x = 992,385.46
  5. Step 5: Solve for x
    x = 992,385.46/1,030.60
  6. Step 6: Final answer
    x = 962.92

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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.