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Finding the Fourth Proportional to 597.74, 823.02 and 509.04

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Solution

The fourth proportional to 597.74, 823.02 and 509.04 is: 700.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.74 : 823.02 = 509.04 : x
  2. Step 2: Convert to fraction form
    597.74/823.02 = 509.04/x
  3. Step 3: Cross multiply
    597.74x = 823.02 × 509.04
  4. Step 4: Simplify right side
    597.74x = 418,950.10
  5. Step 5: Solve for x
    x = 418,950.10/597.74
  6. Step 6: Final answer
    x = 700.89

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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.