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Finding the Fourth Proportional to 509.61, 761.04 and 412.23

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Solution

The fourth proportional to 509.61, 761.04 and 412.23 is: 615.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.61 : 761.04 = 412.23 : x
  2. Step 2: Convert to fraction form
    509.61/761.04 = 412.23/x
  3. Step 3: Cross multiply
    509.61x = 761.04 × 412.23
  4. Step 4: Simplify right side
    509.61x = 313,723.52
  5. Step 5: Solve for x
    x = 313,723.52/509.61
  6. Step 6: Final answer
    x = 615.61

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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.