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Finding the Fourth Proportional to 1,430.85, 1,975.80 and 933.30

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Solution

The fourth proportional to 1,430.85, 1,975.80 and 933.30 is: 1,288.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.85 : 1,975.80 = 933.30 : x
  2. Step 2: Convert to fraction form
    1,430.85/1,975.80 = 933.30/x
  3. Step 3: Cross multiply
    1,430.85x = 1,975.80 × 933.30
  4. Step 4: Simplify right side
    1,430.85x = 1,844,014.14
  5. Step 5: Solve for x
    x = 1,844,014.14/1,430.85
  6. Step 6: Final answer
    x = 1,288.75

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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.