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Finding the Fourth Proportional to 1,056.92, 1,585.62 and 407.69

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Solution

The fourth proportional to 1,056.92, 1,585.62 and 407.69 is: 611.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.92 : 1,585.62 = 407.69 : x
  2. Step 2: Convert to fraction form
    1,056.92/1,585.62 = 407.69/x
  3. Step 3: Cross multiply
    1,056.92x = 1,585.62 × 407.69
  4. Step 4: Simplify right side
    1,056.92x = 646,441.42
  5. Step 5: Solve for x
    x = 646,441.42/1,056.92
  6. Step 6: Final answer
    x = 611.63

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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.