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Finding the Fourth Proportional to 711.96, 980.38 and 564.12

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Solution

The fourth proportional to 711.96, 980.38 and 564.12 is: 776.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.96 : 980.38 = 564.12 : x
  2. Step 2: Convert to fraction form
    711.96/980.38 = 564.12/x
  3. Step 3: Cross multiply
    711.96x = 980.38 × 564.12
  4. Step 4: Simplify right side
    711.96x = 553,051.97
  5. Step 5: Solve for x
    x = 553,051.97/711.96
  6. Step 6: Final answer
    x = 776.80

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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.