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Finding the Fourth Proportional to 2,430.68, 3,646.59 and 787.22

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Solution

The fourth proportional to 2,430.68, 3,646.59 and 787.22 is: 1,181.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.68 : 3,646.59 = 787.22 : x
  2. Step 2: Convert to fraction form
    2,430.68/3,646.59 = 787.22/x
  3. Step 3: Cross multiply
    2,430.68x = 3,646.59 × 787.22
  4. Step 4: Simplify right side
    2,430.68x = 2,870,668.58
  5. Step 5: Solve for x
    x = 2,870,668.58/2,430.68
  6. Step 6: Final answer
    x = 1,181.02

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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.