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Finding the Fourth Proportional to 657.75, 907.76 and 491.67

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Solution

The fourth proportional to 657.75, 907.76 and 491.67 is: 678.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.75 : 907.76 = 491.67 : x
  2. Step 2: Convert to fraction form
    657.75/907.76 = 491.67/x
  3. Step 3: Cross multiply
    657.75x = 907.76 × 491.67
  4. Step 4: Simplify right side
    657.75x = 446,315.90
  5. Step 5: Solve for x
    x = 446,315.90/657.75
  6. Step 6: Final answer
    x = 678.55

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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.