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Finding the Fourth Proportional to 659.80, 910.50 and 380.02

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Solution

The fourth proportional to 659.80, 910.50 and 380.02 is: 524.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.80 : 910.50 = 380.02 : x
  2. Step 2: Convert to fraction form
    659.80/910.50 = 380.02/x
  3. Step 3: Cross multiply
    659.80x = 910.50 × 380.02
  4. Step 4: Simplify right side
    659.80x = 346,008.21
  5. Step 5: Solve for x
    x = 346,008.21/659.80
  6. Step 6: Final answer
    x = 524.41

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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.