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Finding the Fourth Proportional to 715.35, 986.34 and 597.50

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Solution

The fourth proportional to 715.35, 986.34 and 597.50 is: 823.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.35 : 986.34 = 597.50 : x
  2. Step 2: Convert to fraction form
    715.35/986.34 = 597.50/x
  3. Step 3: Cross multiply
    715.35x = 986.34 × 597.50
  4. Step 4: Simplify right side
    715.35x = 589,338.15
  5. Step 5: Solve for x
    x = 589,338.15/715.35
  6. Step 6: Final answer
    x = 823.85

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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.