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Finding the Fourth Proportional to 709.80, 979.90 and 535.88

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Solution

The fourth proportional to 709.80, 979.90 and 535.88 is: 739.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.80 : 979.90 = 535.88 : x
  2. Step 2: Convert to fraction form
    709.80/979.90 = 535.88/x
  3. Step 3: Cross multiply
    709.80x = 979.90 × 535.88
  4. Step 4: Simplify right side
    709.80x = 525,108.81
  5. Step 5: Solve for x
    x = 525,108.81/709.80
  6. Step 6: Final answer
    x = 739.80

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1.5x scale

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.