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Finding the Fourth Proportional to 659.16, 909.60 and 393.65

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Solution

The fourth proportional to 659.16, 909.60 and 393.65 is: 543.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.16 : 909.60 = 393.65 : x
  2. Step 2: Convert to fraction form
    659.16/909.60 = 393.65/x
  3. Step 3: Cross multiply
    659.16x = 909.60 × 393.65
  4. Step 4: Simplify right side
    659.16x = 358,059.49
  5. Step 5: Solve for x
    x = 358,059.49/659.16
  6. Step 6: Final answer
    x = 543.21

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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.