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Finding the Fourth Proportional to 1,086.23, 1,498.95 and 693.38

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Solution

The fourth proportional to 1,086.23, 1,498.95 and 693.38 is: 956.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.23 : 1,498.95 = 693.38 : x
  2. Step 2: Convert to fraction form
    1,086.23/1,498.95 = 693.38/x
  3. Step 3: Cross multiply
    1,086.23x = 1,498.95 × 693.38
  4. Step 4: Simplify right side
    1,086.23x = 1,039,341.95
  5. Step 5: Solve for x
    x = 1,039,341.95/1,086.23
  6. Step 6: Final answer
    x = 956.83

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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.