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Finding the Fourth Proportional to 711.03, 980.10 and 500.58

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Solution

The fourth proportional to 711.03, 980.10 and 500.58 is: 690.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.03 : 980.10 = 500.58 : x
  2. Step 2: Convert to fraction form
    711.03/980.10 = 500.58/x
  3. Step 3: Cross multiply
    711.03x = 980.10 × 500.58
  4. Step 4: Simplify right side
    711.03x = 490,618.46
  5. Step 5: Solve for x
    x = 490,618.46/711.03
  6. Step 6: Final answer
    x = 690.01

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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.