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Finding the Fourth Proportional to 1,085.44, 1,497.58 and 643.18

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Solution

The fourth proportional to 1,085.44, 1,497.58 and 643.18 is: 887.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.44 : 1,497.58 = 643.18 : x
  2. Step 2: Convert to fraction form
    1,085.44/1,497.58 = 643.18/x
  3. Step 3: Cross multiply
    1,085.44x = 1,497.58 × 643.18
  4. Step 4: Simplify right side
    1,085.44x = 963,213.50
  5. Step 5: Solve for x
    x = 963,213.50/1,085.44
  6. Step 6: Final answer
    x = 887.39

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Double scale
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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.