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Finding the Fourth Proportional to 660.69, 910.70 and 520.59

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Solution

The fourth proportional to 660.69, 910.70 and 520.59 is: 717.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.69 : 910.70 = 520.59 : x
  2. Step 2: Convert to fraction form
    660.69/910.70 = 520.59/x
  3. Step 3: Cross multiply
    660.69x = 910.70 × 520.59
  4. Step 4: Simplify right side
    660.69x = 474,098.71
  5. Step 5: Solve for x
    x = 474,098.71/660.69
  6. Step 6: Final answer
    x = 717.58

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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.