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Finding the Fourth Proportional to 765.56, 1,056.06 and 485.28

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Solution

The fourth proportional to 765.56, 1,056.06 and 485.28 is: 669.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.56 : 1,056.06 = 485.28 : x
  2. Step 2: Convert to fraction form
    765.56/1,056.06 = 485.28/x
  3. Step 3: Cross multiply
    765.56x = 1,056.06 × 485.28
  4. Step 4: Simplify right side
    765.56x = 512,484.80
  5. Step 5: Solve for x
    x = 512,484.80/765.56
  6. Step 6: Final answer
    x = 669.42

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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.