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Finding the Fourth Proportional to 657.99, 985.21 and 613.55

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Solution

The fourth proportional to 657.99, 985.21 and 613.55 is: 918.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.99 : 985.21 = 613.55 : x
  2. Step 2: Convert to fraction form
    657.99/985.21 = 613.55/x
  3. Step 3: Cross multiply
    657.99x = 985.21 × 613.55
  4. Step 4: Simplify right side
    657.99x = 604,476.52
  5. Step 5: Solve for x
    x = 604,476.52/657.99
  6. Step 6: Final answer
    x = 918.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.