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Finding the Fourth Proportional to 600.96, 897.29 and 509.70

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Solution

The fourth proportional to 600.96, 897.29 and 509.70 is: 761.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.96 : 897.29 = 509.70 : x
  2. Step 2: Convert to fraction form
    600.96/897.29 = 509.70/x
  3. Step 3: Cross multiply
    600.96x = 897.29 × 509.70
  4. Step 4: Simplify right side
    600.96x = 457,348.71
  5. Step 5: Solve for x
    x = 457,348.71/600.96
  6. Step 6: Final answer
    x = 761.03

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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.