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Finding the Fourth Proportional to 838.17, 1,157.07 and 651.21

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Solution

The fourth proportional to 838.17, 1,157.07 and 651.21 is: 898.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.17 : 1,157.07 = 651.21 : x
  2. Step 2: Convert to fraction form
    838.17/1,157.07 = 651.21/x
  3. Step 3: Cross multiply
    838.17x = 1,157.07 × 651.21
  4. Step 4: Simplify right side
    838.17x = 753,495.55
  5. Step 5: Solve for x
    x = 753,495.55/838.17
  6. Step 6: Final answer
    x = 898.98

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1.5x scale

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.