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Finding the Fourth Proportional to 651.72, 900.10 and 506.10

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Solution

The fourth proportional to 651.72, 900.10 and 506.10 is: 698.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.72 : 900.10 = 506.10 : x
  2. Step 2: Convert to fraction form
    651.72/900.10 = 506.10/x
  3. Step 3: Cross multiply
    651.72x = 900.10 × 506.10
  4. Step 4: Simplify right side
    651.72x = 455,540.61
  5. Step 5: Solve for x
    x = 455,540.61/651.72
  6. Step 6: Final answer
    x = 698.98

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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.