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Finding the Fourth Proportional to 758.16, 1,129.95 and 719.28

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Solution

The fourth proportional to 758.16, 1,129.95 and 719.28 is: 1,072.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.16 : 1,129.95 = 719.28 : x
  2. Step 2: Convert to fraction form
    758.16/1,129.95 = 719.28/x
  3. Step 3: Cross multiply
    758.16x = 1,129.95 × 719.28
  4. Step 4: Simplify right side
    758.16x = 812,750.44
  5. Step 5: Solve for x
    x = 812,750.44/758.16
  6. Step 6: Final answer
    x = 1,072.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.