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Finding the Fourth Proportional to 704.40, 973.68 and 650.88

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Solution

The fourth proportional to 704.40, 973.68 and 650.88 is: 899.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.40 : 973.68 = 650.88 : x
  2. Step 2: Convert to fraction form
    704.40/973.68 = 650.88/x
  3. Step 3: Cross multiply
    704.40x = 973.68 × 650.88
  4. Step 4: Simplify right side
    704.40x = 633,748.84
  5. Step 5: Solve for x
    x = 633,748.84/704.40
  6. Step 6: Final answer
    x = 899.70

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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.