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Finding the Fourth Proportional to 651.87, 900.90 and 520.65

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Solution

The fourth proportional to 651.87, 900.90 and 520.65 is: 719.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.87 : 900.90 = 520.65 : x
  2. Step 2: Convert to fraction form
    651.87/900.90 = 520.65/x
  3. Step 3: Cross multiply
    651.87x = 900.90 × 520.65
  4. Step 4: Simplify right side
    651.87x = 469,053.59
  5. Step 5: Solve for x
    x = 469,053.59/651.87
  6. Step 6: Final answer
    x = 719.55

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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.