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Finding the Fourth Proportional to 738.63, 1,019.03 and 502.88

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Solution

The fourth proportional to 738.63, 1,019.03 and 502.88 is: 693.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.63 : 1,019.03 = 502.88 : x
  2. Step 2: Convert to fraction form
    738.63/1,019.03 = 502.88/x
  3. Step 3: Cross multiply
    738.63x = 1,019.03 × 502.88
  4. Step 4: Simplify right side
    738.63x = 512,442.20
  5. Step 5: Solve for x
    x = 512,442.20/738.63
  6. Step 6: Final answer
    x = 693.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.