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Finding the Fourth Proportional to 1,430.50, 2,145.32 and 909.72

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Solution

The fourth proportional to 1,430.50, 2,145.32 and 909.72 is: 1,364.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.50 : 2,145.32 = 909.72 : x
  2. Step 2: Convert to fraction form
    1,430.50/2,145.32 = 909.72/x
  3. Step 3: Cross multiply
    1,430.50x = 2,145.32 × 909.72
  4. Step 4: Simplify right side
    1,430.50x = 1,951,640.51
  5. Step 5: Solve for x
    x = 1,951,640.51/1,430.50
  6. Step 6: Final answer
    x = 1,364.31

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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.