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Finding the Fourth Proportional to 657.07, 907.04 and 470.23

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Solution

The fourth proportional to 657.07, 907.04 and 470.23 is: 649.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.07 : 907.04 = 470.23 : x
  2. Step 2: Convert to fraction form
    657.07/907.04 = 470.23/x
  3. Step 3: Cross multiply
    657.07x = 907.04 × 470.23
  4. Step 4: Simplify right side
    657.07x = 426,516.33
  5. Step 5: Solve for x
    x = 426,516.33/657.07
  6. Step 6: Final answer
    x = 649.12

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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.