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Finding the Fourth Proportional to 751.89, 1,127.10 and 578.28

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Solution

The fourth proportional to 751.89, 1,127.10 and 578.28 is: 866.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.89 : 1,127.10 = 578.28 : x
  2. Step 2: Convert to fraction form
    751.89/1,127.10 = 578.28/x
  3. Step 3: Cross multiply
    751.89x = 1,127.10 × 578.28
  4. Step 4: Simplify right side
    751.89x = 651,779.39
  5. Step 5: Solve for x
    x = 651,779.39/751.89
  6. Step 6: Final answer
    x = 866.85

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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.