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Finding the Fourth Proportional to 707.96, 977.20 and 459.30

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Solution

The fourth proportional to 707.96, 977.20 and 459.30 is: 633.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.96 : 977.20 = 459.30 : x
  2. Step 2: Convert to fraction form
    707.96/977.20 = 459.30/x
  3. Step 3: Cross multiply
    707.96x = 977.20 × 459.30
  4. Step 4: Simplify right side
    707.96x = 448,830.48
  5. Step 5: Solve for x
    x = 448,830.48/707.96
  6. Step 6: Final answer
    x = 633.97

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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.