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Finding the Fourth Proportional to 1,056.15, 1,456.76 and 662.91

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Solution

The fourth proportional to 1,056.15, 1,456.76 and 662.91 is: 914.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.15 : 1,456.76 = 662.91 : x
  2. Step 2: Convert to fraction form
    1,056.15/1,456.76 = 662.91/x
  3. Step 3: Cross multiply
    1,056.15x = 1,456.76 × 662.91
  4. Step 4: Simplify right side
    1,056.15x = 965,697.46
  5. Step 5: Solve for x
    x = 965,697.46/1,056.15
  6. Step 6: Final answer
    x = 914.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.