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Finding the Fourth Proportional to 1,172.48, 1,757.31 and 478.77

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Solution

The fourth proportional to 1,172.48, 1,757.31 and 478.77 is: 717.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.48 : 1,757.31 = 478.77 : x
  2. Step 2: Convert to fraction form
    1,172.48/1,757.31 = 478.77/x
  3. Step 3: Cross multiply
    1,172.48x = 1,757.31 × 478.77
  4. Step 4: Simplify right side
    1,172.48x = 841,347.31
  5. Step 5: Solve for x
    x = 841,347.31/1,172.48
  6. Step 6: Final answer
    x = 717.58

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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.