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Finding the Fourth Proportional to 707.97, 977.16 and 428.25

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Solution

The fourth proportional to 707.97, 977.16 and 428.25 is: 591.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.97 : 977.16 = 428.25 : x
  2. Step 2: Convert to fraction form
    707.97/977.16 = 428.25/x
  3. Step 3: Cross multiply
    707.97x = 977.16 × 428.25
  4. Step 4: Simplify right side
    707.97x = 418,468.77
  5. Step 5: Solve for x
    x = 418,468.77/707.97
  6. Step 6: Final answer
    x = 591.08

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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.