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Finding the Fourth Proportional to 651.81, 900.42 and 520.65

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Solution

The fourth proportional to 651.81, 900.42 and 520.65 is: 719.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.81 : 900.42 = 520.65 : x
  2. Step 2: Convert to fraction form
    651.81/900.42 = 520.65/x
  3. Step 3: Cross multiply
    651.81x = 900.42 × 520.65
  4. Step 4: Simplify right side
    651.81x = 468,803.67
  5. Step 5: Solve for x
    x = 468,803.67/651.81
  6. Step 6: Final answer
    x = 719.23

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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.