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Finding the Fourth Proportional to 600.21, 895.46 and 507.87

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Solution

The fourth proportional to 600.21, 895.46 and 507.87 is: 757.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.21 : 895.46 = 507.87 : x
  2. Step 2: Convert to fraction form
    600.21/895.46 = 507.87/x
  3. Step 3: Cross multiply
    600.21x = 895.46 × 507.87
  4. Step 4: Simplify right side
    600.21x = 454,774.73
  5. Step 5: Solve for x
    x = 454,774.73/600.21
  6. Step 6: Final answer
    x = 757.69

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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.