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Finding the Fourth Proportional to 509.07, 700.91 and 449.18

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Solution

The fourth proportional to 509.07, 700.91 and 449.18 is: 618.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.07 : 700.91 = 449.18 : x
  2. Step 2: Convert to fraction form
    509.07/700.91 = 449.18/x
  3. Step 3: Cross multiply
    509.07x = 700.91 × 449.18
  4. Step 4: Simplify right side
    509.07x = 314,834.75
  5. Step 5: Solve for x
    x = 314,834.75/509.07
  6. Step 6: Final answer
    x = 618.45

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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.