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Finding the Fourth Proportional to 762.75, 1,050.28 and 651.98

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Solution

The fourth proportional to 762.75, 1,050.28 and 651.98 is: 897.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.75 : 1,050.28 = 651.98 : x
  2. Step 2: Convert to fraction form
    762.75/1,050.28 = 651.98/x
  3. Step 3: Cross multiply
    762.75x = 1,050.28 × 651.98
  4. Step 4: Simplify right side
    762.75x = 684,762.55
  5. Step 5: Solve for x
    x = 684,762.55/762.75
  6. Step 6: Final answer
    x = 897.75

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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.