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Finding the Fourth Proportional to 751.86, 1,125.95 and 459.48

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Solution

The fourth proportional to 751.86, 1,125.95 and 459.48 is: 688.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.86 : 1,125.95 = 459.48 : x
  2. Step 2: Convert to fraction form
    751.86/1,125.95 = 459.48/x
  3. Step 3: Cross multiply
    751.86x = 1,125.95 × 459.48
  4. Step 4: Simplify right side
    751.86x = 517,356.02
  5. Step 5: Solve for x
    x = 517,356.02/751.86
  6. Step 6: Final answer
    x = 688.10

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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.