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Finding the Fourth Proportional to 709.23, 977.88 and 591.37

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Solution

The fourth proportional to 709.23, 977.88 and 591.37 is: 815.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.23 : 977.88 = 591.37 : x
  2. Step 2: Convert to fraction form
    709.23/977.88 = 591.37/x
  3. Step 3: Cross multiply
    709.23x = 977.88 × 591.37
  4. Step 4: Simplify right side
    709.23x = 578,288.90
  5. Step 5: Solve for x
    x = 578,288.90/709.23
  6. Step 6: Final answer
    x = 815.38

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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.