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Finding the Fourth Proportional to 1,085.59, 1,628.39 and 436.78

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Solution

The fourth proportional to 1,085.59, 1,628.39 and 436.78 is: 655.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.59 : 1,628.39 = 436.78 : x
  2. Step 2: Convert to fraction form
    1,085.59/1,628.39 = 436.78/x
  3. Step 3: Cross multiply
    1,085.59x = 1,628.39 × 436.78
  4. Step 4: Simplify right side
    1,085.59x = 711,248.18
  5. Step 5: Solve for x
    x = 711,248.18/1,085.59
  6. Step 6: Final answer
    x = 655.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.