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Finding the Fourth Proportional to 710.93, 980.97 and 448.76

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Solution

The fourth proportional to 710.93, 980.97 and 448.76 is: 619.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.93 : 980.97 = 448.76 : x
  2. Step 2: Convert to fraction form
    710.93/980.97 = 448.76/x
  3. Step 3: Cross multiply
    710.93x = 980.97 × 448.76
  4. Step 4: Simplify right side
    710.93x = 440,220.10
  5. Step 5: Solve for x
    x = 440,220.10/710.93
  6. Step 6: Final answer
    x = 619.22

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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.