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Finding the Fourth Proportional to 1,064.44, 1,602.92 and 929.13

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Solution

The fourth proportional to 1,064.44, 1,602.92 and 929.13 is: 1,399.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.44 : 1,602.92 = 929.13 : x
  2. Step 2: Convert to fraction form
    1,064.44/1,602.92 = 929.13/x
  3. Step 3: Cross multiply
    1,064.44x = 1,602.92 × 929.13
  4. Step 4: Simplify right side
    1,064.44x = 1,489,321.06
  5. Step 5: Solve for x
    x = 1,489,321.06/1,064.44
  6. Step 6: Final answer
    x = 1,399.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.