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Finding the Fourth Proportional to 1,283.16, 1,924.74 and 709.68

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Solution

The fourth proportional to 1,283.16, 1,924.74 and 709.68 is: 1,064.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.16 : 1,924.74 = 709.68 : x
  2. Step 2: Convert to fraction form
    1,283.16/1,924.74 = 709.68/x
  3. Step 3: Cross multiply
    1,283.16x = 1,924.74 × 709.68
  4. Step 4: Simplify right side
    1,283.16x = 1,365,949.48
  5. Step 5: Solve for x
    x = 1,365,949.48/1,283.16
  6. Step 6: Final answer
    x = 1,064.52

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Similar ratio
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1.5x scale

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.