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Finding the Fourth Proportional to 509.75, 765.02 and 373.15

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Solution

The fourth proportional to 509.75, 765.02 and 373.15 is: 560.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.75 : 765.02 = 373.15 : x
  2. Step 2: Convert to fraction form
    509.75/765.02 = 373.15/x
  3. Step 3: Cross multiply
    509.75x = 765.02 × 373.15
  4. Step 4: Simplify right side
    509.75x = 285,465.35
  5. Step 5: Solve for x
    x = 285,465.35/509.75
  6. Step 6: Final answer
    x = 560.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.