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Finding the Fourth Proportional to 708.89, 977.68 and 553.37

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Solution

The fourth proportional to 708.89, 977.68 and 553.37 is: 763.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.89 : 977.68 = 553.37 : x
  2. Step 2: Convert to fraction form
    708.89/977.68 = 553.37/x
  3. Step 3: Cross multiply
    708.89x = 977.68 × 553.37
  4. Step 4: Simplify right side
    708.89x = 541,018.78
  5. Step 5: Solve for x
    x = 541,018.78/708.89
  6. Step 6: Final answer
    x = 763.19

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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.