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Finding the Fourth Proportional to 709.85, 979.28 and 473.57

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Solution

The fourth proportional to 709.85, 979.28 and 473.57 is: 653.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.85 : 979.28 = 473.57 : x
  2. Step 2: Convert to fraction form
    709.85/979.28 = 473.57/x
  3. Step 3: Cross multiply
    709.85x = 979.28 × 473.57
  4. Step 4: Simplify right side
    709.85x = 463,759.49
  5. Step 5: Solve for x
    x = 463,759.49/709.85
  6. Step 6: Final answer
    x = 653.32

Related Problems

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Half scale
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Double scale
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Similar ratio
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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.