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Finding the Fourth Proportional to 710.78, 980.78 and 448.88

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Solution

The fourth proportional to 710.78, 980.78 and 448.88 is: 619.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.78 : 980.78 = 448.88 : x
  2. Step 2: Convert to fraction form
    710.78/980.78 = 448.88/x
  3. Step 3: Cross multiply
    710.78x = 980.78 × 448.88
  4. Step 4: Simplify right side
    710.78x = 440,252.53
  5. Step 5: Solve for x
    x = 440,252.53/710.78
  6. Step 6: Final answer
    x = 619.39

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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.