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Finding the Fourth Proportional to 700.79, 965.37 and 590.23

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Solution

The fourth proportional to 700.79, 965.37 and 590.23 is: 813.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.79 : 965.37 = 590.23 : x
  2. Step 2: Convert to fraction form
    700.79/965.37 = 590.23/x
  3. Step 3: Cross multiply
    700.79x = 965.37 × 590.23
  4. Step 4: Simplify right side
    700.79x = 569,787.92
  5. Step 5: Solve for x
    x = 569,787.92/700.79
  6. Step 6: Final answer
    x = 813.06

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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.