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Finding the Fourth Proportional to 1,086.71, 1,499.66 and 589.35

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Solution

The fourth proportional to 1,086.71, 1,499.66 and 589.35 is: 813.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.71 : 1,499.66 = 589.35 : x
  2. Step 2: Convert to fraction form
    1,086.71/1,499.66 = 589.35/x
  3. Step 3: Cross multiply
    1,086.71x = 1,499.66 × 589.35
  4. Step 4: Simplify right side
    1,086.71x = 883,828.04
  5. Step 5: Solve for x
    x = 883,828.04/1,086.71
  6. Step 6: Final answer
    x = 813.30

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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.