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Finding the Fourth Proportional to 758.43, 1,130.02 and 708.75

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Solution

The fourth proportional to 758.43, 1,130.02 and 708.75 is: 1,056.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.43 : 1,130.02 = 708.75 : x
  2. Step 2: Convert to fraction form
    758.43/1,130.02 = 708.75/x
  3. Step 3: Cross multiply
    758.43x = 1,130.02 × 708.75
  4. Step 4: Simplify right side
    758.43x = 800,899.90
  5. Step 5: Solve for x
    x = 800,899.90/758.43
  6. Step 6: Final answer
    x = 1,056.00

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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.