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Finding the Fourth Proportional to 751.17, 1,036.74 and 471.64

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Solution

The fourth proportional to 751.17, 1,036.74 and 471.64 is: 650.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.17 : 1,036.74 = 471.64 : x
  2. Step 2: Convert to fraction form
    751.17/1,036.74 = 471.64/x
  3. Step 3: Cross multiply
    751.17x = 1,036.74 × 471.64
  4. Step 4: Simplify right side
    751.17x = 488,968.05
  5. Step 5: Solve for x
    x = 488,968.05/751.17
  6. Step 6: Final answer
    x = 650.94

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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.