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Finding the Fourth Proportional to 1,172.98, 1,759.43 and 432.77

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Solution

The fourth proportional to 1,172.98, 1,759.43 and 432.77 is: 649.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.98 : 1,759.43 = 432.77 : x
  2. Step 2: Convert to fraction form
    1,172.98/1,759.43 = 432.77/x
  3. Step 3: Cross multiply
    1,172.98x = 1,759.43 × 432.77
  4. Step 4: Simplify right side
    1,172.98x = 761,420.81
  5. Step 5: Solve for x
    x = 761,420.81/1,172.98
  6. Step 6: Final answer
    x = 649.14

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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.