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Finding the Fourth Proportional to 904.63, 1,357.31 and 465.66

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Solution

The fourth proportional to 904.63, 1,357.31 and 465.66 is: 698.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.63 : 1,357.31 = 465.66 : x
  2. Step 2: Convert to fraction form
    904.63/1,357.31 = 465.66/x
  3. Step 3: Cross multiply
    904.63x = 1,357.31 × 465.66
  4. Step 4: Simplify right side
    904.63x = 632,044.97
  5. Step 5: Solve for x
    x = 632,044.97/904.63
  6. Step 6: Final answer
    x = 698.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.