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Finding the Fourth Proportional to 740.53, 1,022.14 and 519.53

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Solution

The fourth proportional to 740.53, 1,022.14 and 519.53 is: 717.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.53 : 1,022.14 = 519.53 : x
  2. Step 2: Convert to fraction form
    740.53/1,022.14 = 519.53/x
  3. Step 3: Cross multiply
    740.53x = 1,022.14 × 519.53
  4. Step 4: Simplify right side
    740.53x = 531,032.39
  5. Step 5: Solve for x
    x = 531,032.39/740.53
  6. Step 6: Final answer
    x = 717.10

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1.5x scale

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.