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Finding the Fourth Proportional to 979.64, 1,352.07 and 586.90

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Solution

The fourth proportional to 979.64, 1,352.07 and 586.90 is: 810.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.64 : 1,352.07 = 586.90 : x
  2. Step 2: Convert to fraction form
    979.64/1,352.07 = 586.90/x
  3. Step 3: Cross multiply
    979.64x = 1,352.07 × 586.90
  4. Step 4: Simplify right side
    979.64x = 793,529.88
  5. Step 5: Solve for x
    x = 793,529.88/979.64
  6. Step 6: Final answer
    x = 810.02

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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.