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Finding the Fourth Proportional to 1,430.91, 2,145.68 and 608.74

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Solution

The fourth proportional to 1,430.91, 2,145.68 and 608.74 is: 912.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.91 : 2,145.68 = 608.74 : x
  2. Step 2: Convert to fraction form
    1,430.91/2,145.68 = 608.74/x
  3. Step 3: Cross multiply
    1,430.91x = 2,145.68 × 608.74
  4. Step 4: Simplify right side
    1,430.91x = 1,306,161.24
  5. Step 5: Solve for x
    x = 1,306,161.24/1,430.91
  6. Step 6: Final answer
    x = 912.82

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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.