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Finding the Fourth Proportional to 1,430.91, 2,146.84 and 609.87

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Solution

The fourth proportional to 1,430.91, 2,146.84 and 609.87 is: 915.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.91 : 2,146.84 = 609.87 : x
  2. Step 2: Convert to fraction form
    1,430.91/2,146.84 = 609.87/x
  3. Step 3: Cross multiply
    1,430.91x = 2,146.84 × 609.87
  4. Step 4: Simplify right side
    1,430.91x = 1,309,299.84
  5. Step 5: Solve for x
    x = 1,309,299.84/1,430.91
  6. Step 6: Final answer
    x = 915.01

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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.