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Finding the Fourth Proportional to 1,430.55, 1,974.11 and 933.21

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Solution

The fourth proportional to 1,430.55, 1,974.11 and 933.21 is: 1,287.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.55 : 1,974.11 = 933.21 : x
  2. Step 2: Convert to fraction form
    1,430.55/1,974.11 = 933.21/x
  3. Step 3: Cross multiply
    1,430.55x = 1,974.11 × 933.21
  4. Step 4: Simplify right side
    1,430.55x = 1,842,254.53
  5. Step 5: Solve for x
    x = 1,842,254.53/1,430.55
  6. Step 6: Final answer
    x = 1,287.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.