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Finding the Fourth Proportional to 765.15, 1,056.38 and 555.99

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Solution

The fourth proportional to 765.15, 1,056.38 and 555.99 is: 767.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.15 : 1,056.38 = 555.99 : x
  2. Step 2: Convert to fraction form
    765.15/1,056.38 = 555.99/x
  3. Step 3: Cross multiply
    765.15x = 1,056.38 × 555.99
  4. Step 4: Simplify right side
    765.15x = 587,333.94
  5. Step 5: Solve for x
    x = 587,333.94/765.15
  6. Step 6: Final answer
    x = 767.61

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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.