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Finding the Fourth Proportional to 750.10, 1,124.88 and 520.48

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Solution

The fourth proportional to 750.10, 1,124.88 and 520.48 is: 780.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.10 : 1,124.88 = 520.48 : x
  2. Step 2: Convert to fraction form
    750.10/1,124.88 = 520.48/x
  3. Step 3: Cross multiply
    750.10x = 1,124.88 × 520.48
  4. Step 4: Simplify right side
    750.10x = 585,477.54
  5. Step 5: Solve for x
    x = 585,477.54/750.10
  6. Step 6: Final answer
    x = 780.53

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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.