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Finding the Fourth Proportional to 510.64, 765.70 and 412.90

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Solution

The fourth proportional to 510.64, 765.70 and 412.90 is: 619.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.64 : 765.70 = 412.90 : x
  2. Step 2: Convert to fraction form
    510.64/765.70 = 412.90/x
  3. Step 3: Cross multiply
    510.64x = 765.70 × 412.90
  4. Step 4: Simplify right side
    510.64x = 316,157.53
  5. Step 5: Solve for x
    x = 316,157.53/510.64
  6. Step 6: Final answer
    x = 619.14

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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.