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Finding the Fourth Proportional to 710.77, 1,064.37 and 449.98

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Solution

The fourth proportional to 710.77, 1,064.37 and 449.98 is: 673.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.77 : 1,064.37 = 449.98 : x
  2. Step 2: Convert to fraction form
    710.77/1,064.37 = 449.98/x
  3. Step 3: Cross multiply
    710.77x = 1,064.37 × 449.98
  4. Step 4: Simplify right side
    710.77x = 478,942.19
  5. Step 5: Solve for x
    x = 478,942.19/710.77
  6. Step 6: Final answer
    x = 673.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.