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Finding the Fourth Proportional to 709.70, 979.38 and 433.70

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Solution

The fourth proportional to 709.70, 979.38 and 433.70 is: 598.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.70 : 979.38 = 433.70 : x
  2. Step 2: Convert to fraction form
    709.70/979.38 = 433.70/x
  3. Step 3: Cross multiply
    709.70x = 979.38 × 433.70
  4. Step 4: Simplify right side
    709.70x = 424,752.21
  5. Step 5: Solve for x
    x = 424,752.21/709.70
  6. Step 6: Final answer
    x = 598.50

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Double scale
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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.