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Finding the Fourth Proportional to 1,242.40, 1,864.16 and 512.16

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Solution

The fourth proportional to 1,242.40, 1,864.16 and 512.16 is: 768.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.40 : 1,864.16 = 512.16 : x
  2. Step 2: Convert to fraction form
    1,242.40/1,864.16 = 512.16/x
  3. Step 3: Cross multiply
    1,242.40x = 1,864.16 × 512.16
  4. Step 4: Simplify right side
    1,242.40x = 954,748.19
  5. Step 5: Solve for x
    x = 954,748.19/1,242.40
  6. Step 6: Final answer
    x = 768.47

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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.