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Finding the Fourth Proportional to 659.90, 910.59 and 528.86

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Solution

The fourth proportional to 659.90, 910.59 and 528.86 is: 729.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.90 : 910.59 = 528.86 : x
  2. Step 2: Convert to fraction form
    659.90/910.59 = 528.86/x
  3. Step 3: Cross multiply
    659.90x = 910.59 × 528.86
  4. Step 4: Simplify right side
    659.90x = 481,574.63
  5. Step 5: Solve for x
    x = 481,574.63/659.90
  6. Step 6: Final answer
    x = 729.77

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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.