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Finding the Fourth Proportional to 711.57, 980.91 and 501.06

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Solution

The fourth proportional to 711.57, 980.91 and 501.06 is: 690.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.57 : 980.91 = 501.06 : x
  2. Step 2: Convert to fraction form
    711.57/980.91 = 501.06/x
  3. Step 3: Cross multiply
    711.57x = 980.91 × 501.06
  4. Step 4: Simplify right side
    711.57x = 491,494.76
  5. Step 5: Solve for x
    x = 491,494.76/711.57
  6. Step 6: Final answer
    x = 690.72

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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.