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Finding the Fourth Proportional to 708.84, 977.78 and 429.19

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Solution

The fourth proportional to 708.84, 977.78 and 429.19 is: 592.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.84 : 977.78 = 429.19 : x
  2. Step 2: Convert to fraction form
    708.84/977.78 = 429.19/x
  3. Step 3: Cross multiply
    708.84x = 977.78 × 429.19
  4. Step 4: Simplify right side
    708.84x = 419,653.40
  5. Step 5: Solve for x
    x = 419,653.40/708.84
  6. Step 6: Final answer
    x = 592.03

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1.5x scale

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.