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Finding the Fourth Proportional to 510.89, 766.74 and 420.17

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Solution

The fourth proportional to 510.89, 766.74 and 420.17 is: 630.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.89 : 766.74 = 420.17 : x
  2. Step 2: Convert to fraction form
    510.89/766.74 = 420.17/x
  3. Step 3: Cross multiply
    510.89x = 766.74 × 420.17
  4. Step 4: Simplify right side
    510.89x = 322,161.15
  5. Step 5: Solve for x
    x = 322,161.15/510.89
  6. Step 6: Final answer
    x = 630.59

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Double scale
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1.5x scale

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.