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Finding the Fourth Proportional to 501.06, 754.32 and 430.59

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Solution

The fourth proportional to 501.06, 754.32 and 430.59 is: 648.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.06 : 754.32 = 430.59 : x
  2. Step 2: Convert to fraction form
    501.06/754.32 = 430.59/x
  3. Step 3: Cross multiply
    501.06x = 754.32 × 430.59
  4. Step 4: Simplify right side
    501.06x = 324,802.65
  5. Step 5: Solve for x
    x = 324,802.65/501.06
  6. Step 6: Final answer
    x = 648.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.