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Finding the Fourth Proportional to 709.05, 978.90 and 473.34

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Solution

The fourth proportional to 709.05, 978.90 and 473.34 is: 653.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.05 : 978.90 = 473.34 : x
  2. Step 2: Convert to fraction form
    709.05/978.90 = 473.34/x
  3. Step 3: Cross multiply
    709.05x = 978.90 × 473.34
  4. Step 4: Simplify right side
    709.05x = 463,352.53
  5. Step 5: Solve for x
    x = 463,352.53/709.05
  6. Step 6: Final answer
    x = 653.48

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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.