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Finding the Fourth Proportional to 715.86, 988.36 and 549.77

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Solution

The fourth proportional to 715.86, 988.36 and 549.77 is: 759.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.86 : 988.36 = 549.77 : x
  2. Step 2: Convert to fraction form
    715.86/988.36 = 549.77/x
  3. Step 3: Cross multiply
    715.86x = 988.36 × 549.77
  4. Step 4: Simplify right side
    715.86x = 543,371.77
  5. Step 5: Solve for x
    x = 543,371.77/715.86
  6. Step 6: Final answer
    x = 759.05

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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.