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Finding the Fourth Proportional to 691.56, 947.12 and 651.64

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Solution

The fourth proportional to 691.56, 947.12 and 651.64 is: 892.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.56 : 947.12 = 651.64 : x
  2. Step 2: Convert to fraction form
    691.56/947.12 = 651.64/x
  3. Step 3: Cross multiply
    691.56x = 947.12 × 651.64
  4. Step 4: Simplify right side
    691.56x = 617,181.28
  5. Step 5: Solve for x
    x = 617,181.28/691.56
  6. Step 6: Final answer
    x = 892.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.