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Finding the Fourth Proportional to 597.09, 899.14 and 520.97

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Solution

The fourth proportional to 597.09, 899.14 and 520.97 is: 784.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.09 : 899.14 = 520.97 : x
  2. Step 2: Convert to fraction form
    597.09/899.14 = 520.97/x
  3. Step 3: Cross multiply
    597.09x = 899.14 × 520.97
  4. Step 4: Simplify right side
    597.09x = 468,420.47
  5. Step 5: Solve for x
    x = 468,420.47/597.09
  6. Step 6: Final answer
    x = 784.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.