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Finding the Fourth Proportional to 651.96, 900.18 and 520.74

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Solution

The fourth proportional to 651.96, 900.18 and 520.74 is: 719.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.96 : 900.18 = 520.74 : x
  2. Step 2: Convert to fraction form
    651.96/900.18 = 520.74/x
  3. Step 3: Cross multiply
    651.96x = 900.18 × 520.74
  4. Step 4: Simplify right side
    651.96x = 468,759.73
  5. Step 5: Solve for x
    x = 468,759.73/651.96
  6. Step 6: Final answer
    x = 719.00

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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.