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Finding the Fourth Proportional to 1,430.96, 2,145.72 and 608.78

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Solution

The fourth proportional to 1,430.96, 2,145.72 and 608.78 is: 912.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.96 : 2,145.72 = 608.78 : x
  2. Step 2: Convert to fraction form
    1,430.96/2,145.72 = 608.78/x
  3. Step 3: Cross multiply
    1,430.96x = 2,145.72 × 608.78
  4. Step 4: Simplify right side
    1,430.96x = 1,306,271.42
  5. Step 5: Solve for x
    x = 1,306,271.42/1,430.96
  6. Step 6: Final answer
    x = 912.86

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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.