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Finding the Fourth Proportional to 485.19, 730.71 and 431.03

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Solution

The fourth proportional to 485.19, 730.71 and 431.03 is: 649.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.19 : 730.71 = 431.03 : x
  2. Step 2: Convert to fraction form
    485.19/730.71 = 431.03/x
  3. Step 3: Cross multiply
    485.19x = 730.71 × 431.03
  4. Step 4: Simplify right side
    485.19x = 314,957.93
  5. Step 5: Solve for x
    x = 314,957.93/485.19
  6. Step 6: Final answer
    x = 649.14

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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.