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Finding the Fourth Proportional to 651.70, 899.67 and 546.40

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Solution

The fourth proportional to 651.70, 899.67 and 546.40 is: 754.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.70 : 899.67 = 546.40 : x
  2. Step 2: Convert to fraction form
    651.70/899.67 = 546.40/x
  3. Step 3: Cross multiply
    651.70x = 899.67 × 546.40
  4. Step 4: Simplify right side
    651.70x = 491,579.69
  5. Step 5: Solve for x
    x = 491,579.69/651.70
  6. Step 6: Final answer
    x = 754.30

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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.