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Finding the Fourth Proportional to 1,030.32, 1,553.01 and 942.66

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Solution

The fourth proportional to 1,030.32, 1,553.01 and 942.66 is: 1,420.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.32 : 1,553.01 = 942.66 : x
  2. Step 2: Convert to fraction form
    1,030.32/1,553.01 = 942.66/x
  3. Step 3: Cross multiply
    1,030.32x = 1,553.01 × 942.66
  4. Step 4: Simplify right side
    1,030.32x = 1,463,960.41
  5. Step 5: Solve for x
    x = 1,463,960.41/1,030.32
  6. Step 6: Final answer
    x = 1,420.88

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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.