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Finding the Fourth Proportional to 597.16, 821.10 and 509.68

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Solution

The fourth proportional to 597.16, 821.10 and 509.68 is: 700.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.16 : 821.10 = 509.68 : x
  2. Step 2: Convert to fraction form
    597.16/821.10 = 509.68/x
  3. Step 3: Cross multiply
    597.16x = 821.10 × 509.68
  4. Step 4: Simplify right side
    597.16x = 418,498.25
  5. Step 5: Solve for x
    x = 418,498.25/597.16
  6. Step 6: Final answer
    x = 700.81

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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.