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Finding the Fourth Proportional to 510.60, 762.42 and 419.49

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Solution

The fourth proportional to 510.60, 762.42 and 419.49 is: 626.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.60 : 762.42 = 419.49 : x
  2. Step 2: Convert to fraction form
    510.60/762.42 = 419.49/x
  3. Step 3: Cross multiply
    510.60x = 762.42 × 419.49
  4. Step 4: Simplify right side
    510.60x = 319,827.57
  5. Step 5: Solve for x
    x = 319,827.57/510.60
  6. Step 6: Final answer
    x = 626.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.