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Finding the Fourth Proportional to 1,053.02, 1,577.78 and 640.91

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Solution

The fourth proportional to 1,053.02, 1,577.78 and 640.91 is: 960.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.02 : 1,577.78 = 640.91 : x
  2. Step 2: Convert to fraction form
    1,053.02/1,577.78 = 640.91/x
  3. Step 3: Cross multiply
    1,053.02x = 1,577.78 × 640.91
  4. Step 4: Simplify right side
    1,053.02x = 1,011,203.89
  5. Step 5: Solve for x
    x = 1,011,203.89/1,053.02
  6. Step 6: Final answer
    x = 960.29

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