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Finding the Fourth Proportional to 514.51, 768.22 and 509.32

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Solution

The fourth proportional to 514.51, 768.22 and 509.32 is: 760.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.51 : 768.22 = 509.32 : x
  2. Step 2: Convert to fraction form
    514.51/768.22 = 509.32/x
  3. Step 3: Cross multiply
    514.51x = 768.22 × 509.32
  4. Step 4: Simplify right side
    514.51x = 391,269.81
  5. Step 5: Solve for x
    x = 391,269.81/514.51
  6. Step 6: Final answer
    x = 760.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.