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Finding the Fourth Proportional to 708.84, 977.94 and 551.16

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Solution

The fourth proportional to 708.84, 977.94 and 551.16 is: 760.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.84 : 977.94 = 551.16 : x
  2. Step 2: Convert to fraction form
    708.84/977.94 = 551.16/x
  3. Step 3: Cross multiply
    708.84x = 977.94 × 551.16
  4. Step 4: Simplify right side
    708.84x = 539,001.41
  5. Step 5: Solve for x
    x = 539,001.41/708.84
  6. Step 6: Final answer
    x = 760.40

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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.