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Finding the Fourth Proportional to 651.77, 897.23 and 504.12

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Solution

The fourth proportional to 651.77, 897.23 and 504.12 is: 693.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.77 : 897.23 = 504.12 : x
  2. Step 2: Convert to fraction form
    651.77/897.23 = 504.12/x
  3. Step 3: Cross multiply
    651.77x = 897.23 × 504.12
  4. Step 4: Simplify right side
    651.77x = 452,312.85
  5. Step 5: Solve for x
    x = 452,312.85/651.77
  6. Step 6: Final answer
    x = 693.98

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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.