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Finding the Fourth Proportional to 715.29, 988.74 and 657.90

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Solution

The fourth proportional to 715.29, 988.74 and 657.90 is: 909.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.29 : 988.74 = 657.90 : x
  2. Step 2: Convert to fraction form
    715.29/988.74 = 657.90/x
  3. Step 3: Cross multiply
    715.29x = 988.74 × 657.90
  4. Step 4: Simplify right side
    715.29x = 650,492.05
  5. Step 5: Solve for x
    x = 650,492.05/715.29
  6. Step 6: Final answer
    x = 909.41

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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.