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Finding the Fourth Proportional to 510.64, 765.51 and 312.67

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Solution

The fourth proportional to 510.64, 765.51 and 312.67 is: 468.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.64 : 765.51 = 312.67 : x
  2. Step 2: Convert to fraction form
    510.64/765.51 = 312.67/x
  3. Step 3: Cross multiply
    510.64x = 765.51 × 312.67
  4. Step 4: Simplify right side
    510.64x = 239,352.01
  5. Step 5: Solve for x
    x = 239,352.01/510.64
  6. Step 6: Final answer
    x = 468.73

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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.