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Finding the Fourth Proportional to 509.94, 767.66 and 465.30

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Solution

The fourth proportional to 509.94, 767.66 and 465.30 is: 700.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.94 : 767.66 = 465.30 : x
  2. Step 2: Convert to fraction form
    509.94/767.66 = 465.30/x
  3. Step 3: Cross multiply
    509.94x = 767.66 × 465.30
  4. Step 4: Simplify right side
    509.94x = 357,189.87
  5. Step 5: Solve for x
    x = 357,189.87/509.94
  6. Step 6: Final answer
    x = 700.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.