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Finding the Fourth Proportional to 657.68, 907.47 and 421.67

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Solution

The fourth proportional to 657.68, 907.47 and 421.67 is: 581.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.68 : 907.47 = 421.67 : x
  2. Step 2: Convert to fraction form
    657.68/907.47 = 421.67/x
  3. Step 3: Cross multiply
    657.68x = 907.47 × 421.67
  4. Step 4: Simplify right side
    657.68x = 382,648.34
  5. Step 5: Solve for x
    x = 382,648.34/657.68
  6. Step 6: Final answer
    x = 581.82

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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.