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Finding the Fourth Proportional to 709.23, 976.42 and 559.58

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Solution

The fourth proportional to 709.23, 976.42 and 559.58 is: 770.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.23 : 976.42 = 559.58 : x
  2. Step 2: Convert to fraction form
    709.23/976.42 = 559.58/x
  3. Step 3: Cross multiply
    709.23x = 976.42 × 559.58
  4. Step 4: Simplify right side
    709.23x = 546,381.26
  5. Step 5: Solve for x
    x = 546,381.26/709.23
  6. Step 6: Final answer
    x = 770.39

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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.