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Finding the Fourth Proportional to 509.04, 700.83 and 433.86

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Solution

The fourth proportional to 509.04, 700.83 and 433.86 is: 597.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.04 : 700.83 = 433.86 : x
  2. Step 2: Convert to fraction form
    509.04/700.83 = 433.86/x
  3. Step 3: Cross multiply
    509.04x = 700.83 × 433.86
  4. Step 4: Simplify right side
    509.04x = 304,061.60
  5. Step 5: Solve for x
    x = 304,061.60/509.04
  6. Step 6: Final answer
    x = 597.33

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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.