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Finding the Fourth Proportional to 990.90, 1,365.80 and 695.66

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Solution

The fourth proportional to 990.90, 1,365.80 and 695.66 is: 958.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.90 : 1,365.80 = 695.66 : x
  2. Step 2: Convert to fraction form
    990.90/1,365.80 = 695.66/x
  3. Step 3: Cross multiply
    990.90x = 1,365.80 × 695.66
  4. Step 4: Simplify right side
    990.90x = 950,122.12
  5. Step 5: Solve for x
    x = 950,122.12/990.90
  6. Step 6: Final answer
    x = 958.85

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1.5x scale

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.