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Finding the Fourth Proportional to 883.51, 1,326.24 and 472.53

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Solution

The fourth proportional to 883.51, 1,326.24 and 472.53 is: 709.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.51 : 1,326.24 = 472.53 : x
  2. Step 2: Convert to fraction form
    883.51/1,326.24 = 472.53/x
  3. Step 3: Cross multiply
    883.51x = 1,326.24 × 472.53
  4. Step 4: Simplify right side
    883.51x = 626,693.16
  5. Step 5: Solve for x
    x = 626,693.16/883.51
  6. Step 6: Final answer
    x = 709.32

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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.