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Finding the Fourth Proportional to 738.62, 1,018.32 and 505.34

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Solution

The fourth proportional to 738.62, 1,018.32 and 505.34 is: 696.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.62 : 1,018.32 = 505.34 : x
  2. Step 2: Convert to fraction form
    738.62/1,018.32 = 505.34/x
  3. Step 3: Cross multiply
    738.62x = 1,018.32 × 505.34
  4. Step 4: Simplify right side
    738.62x = 514,597.83
  5. Step 5: Solve for x
    x = 514,597.83/738.62
  6. Step 6: Final answer
    x = 696.70

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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.