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Finding the Fourth Proportional to 657.99, 975.36 and 647.67

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Solution

The fourth proportional to 657.99, 975.36 and 647.67 is: 960.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.99 : 975.36 = 647.67 : x
  2. Step 2: Convert to fraction form
    657.99/975.36 = 647.67/x
  3. Step 3: Cross multiply
    657.99x = 975.36 × 647.67
  4. Step 4: Simplify right side
    657.99x = 631,711.41
  5. Step 5: Solve for x
    x = 631,711.41/657.99
  6. Step 6: Final answer
    x = 960.06

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.