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Finding the Fourth Proportional to 748.98, 1,030.32 and 719.01

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Solution

The fourth proportional to 748.98, 1,030.32 and 719.01 is: 989.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.98 : 1,030.32 = 719.01 : x
  2. Step 2: Convert to fraction form
    748.98/1,030.32 = 719.01/x
  3. Step 3: Cross multiply
    748.98x = 1,030.32 × 719.01
  4. Step 4: Simplify right side
    748.98x = 740,810.38
  5. Step 5: Solve for x
    x = 740,810.38/748.98
  6. Step 6: Final answer
    x = 989.09

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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.