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Finding the Fourth Proportional to 510.70, 768.82 and 465.34

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Solution

The fourth proportional to 510.70, 768.82 and 465.34 is: 700.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.70 : 768.82 = 465.34 : x
  2. Step 2: Convert to fraction form
    510.70/768.82 = 465.34/x
  3. Step 3: Cross multiply
    510.70x = 768.82 × 465.34
  4. Step 4: Simplify right side
    510.70x = 357,762.70
  5. Step 5: Solve for x
    x = 357,762.70/510.70
  6. Step 6: Final answer
    x = 700.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.