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Finding the Fourth Proportional to 709.12, 1,058.61 and 599.72

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Solution

The fourth proportional to 709.12, 1,058.61 and 599.72 is: 895.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.12 : 1,058.61 = 599.72 : x
  2. Step 2: Convert to fraction form
    709.12/1,058.61 = 599.72/x
  3. Step 3: Cross multiply
    709.12x = 1,058.61 × 599.72
  4. Step 4: Simplify right side
    709.12x = 634,869.59
  5. Step 5: Solve for x
    x = 634,869.59/709.12
  6. Step 6: Final answer
    x = 895.29

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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.