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Finding the Fourth Proportional to 607.57, 912.56 and 520.87

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Solution

The fourth proportional to 607.57, 912.56 and 520.87 is: 782.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.57 : 912.56 = 520.87 : x
  2. Step 2: Convert to fraction form
    607.57/912.56 = 520.87/x
  3. Step 3: Cross multiply
    607.57x = 912.56 × 520.87
  4. Step 4: Simplify right side
    607.57x = 475,325.13
  5. Step 5: Solve for x
    x = 475,325.13/607.57
  6. Step 6: Final answer
    x = 782.34

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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.