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Finding the Fourth Proportional to 510.85, 766.38 and 464.50

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Solution

The fourth proportional to 510.85, 766.38 and 464.50 is: 696.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.85 : 766.38 = 464.50 : x
  2. Step 2: Convert to fraction form
    510.85/766.38 = 464.50/x
  3. Step 3: Cross multiply
    510.85x = 766.38 × 464.50
  4. Step 4: Simplify right side
    510.85x = 355,983.51
  5. Step 5: Solve for x
    x = 355,983.51/510.85
  6. Step 6: Final answer
    x = 696.85

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Double scale
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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.