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Finding the Fourth Proportional to 659.80, 910.57 and 380.03

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Solution

The fourth proportional to 659.80, 910.57 and 380.03 is: 524.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.80 : 910.57 = 380.03 : x
  2. Step 2: Convert to fraction form
    659.80/910.57 = 380.03/x
  3. Step 3: Cross multiply
    659.80x = 910.57 × 380.03
  4. Step 4: Simplify right side
    659.80x = 346,038.06
  5. Step 5: Solve for x
    x = 346,038.06/659.80
  6. Step 6: Final answer
    x = 524.46

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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.