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Finding the Fourth Proportional to 741.16, 1,021.08 and 519.70

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Solution

The fourth proportional to 741.16, 1,021.08 and 519.70 is: 715.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.16 : 1,021.08 = 519.70 : x
  2. Step 2: Convert to fraction form
    741.16/1,021.08 = 519.70/x
  3. Step 3: Cross multiply
    741.16x = 1,021.08 × 519.70
  4. Step 4: Simplify right side
    741.16x = 530,655.28
  5. Step 5: Solve for x
    x = 530,655.28/741.16
  6. Step 6: Final answer
    x = 715.98

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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.