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Finding the Fourth Proportional to 510.66, 766.01 and 289.71

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Solution

The fourth proportional to 510.66, 766.01 and 289.71 is: 434.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.66 : 766.01 = 289.71 : x
  2. Step 2: Convert to fraction form
    510.66/766.01 = 289.71/x
  3. Step 3: Cross multiply
    510.66x = 766.01 × 289.71
  4. Step 4: Simplify right side
    510.66x = 221,919.31
  5. Step 5: Solve for x
    x = 221,919.31/510.66
  6. Step 6: Final answer
    x = 434.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.