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Finding the Fourth Proportional to 709.65, 978.53 and 488.75

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Solution

The fourth proportional to 709.65, 978.53 and 488.75 is: 673.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.65 : 978.53 = 488.75 : x
  2. Step 2: Convert to fraction form
    709.65/978.53 = 488.75/x
  3. Step 3: Cross multiply
    709.65x = 978.53 × 488.75
  4. Step 4: Simplify right side
    709.65x = 478,249.20
  5. Step 5: Solve for x
    x = 478,249.20/709.65
  6. Step 6: Final answer
    x = 673.92

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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.