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Finding the Fourth Proportional to 600.68, 826.26 and 513.20

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Solution

The fourth proportional to 600.68, 826.26 and 513.20 is: 705.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.68 : 826.26 = 513.20 : x
  2. Step 2: Convert to fraction form
    600.68/826.26 = 513.20/x
  3. Step 3: Cross multiply
    600.68x = 826.26 × 513.20
  4. Step 4: Simplify right side
    600.68x = 424,036.63
  5. Step 5: Solve for x
    x = 424,036.63/600.68
  6. Step 6: Final answer
    x = 705.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.