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Finding the Fourth Proportional to 738.02, 1,018.91 and 656.02

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Solution

The fourth proportional to 738.02, 1,018.91 and 656.02 is: 905.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.02 : 1,018.91 = 656.02 : x
  2. Step 2: Convert to fraction form
    738.02/1,018.91 = 656.02/x
  3. Step 3: Cross multiply
    738.02x = 1,018.91 × 656.02
  4. Step 4: Simplify right side
    738.02x = 668,416.96
  5. Step 5: Solve for x
    x = 668,416.96/738.02
  6. Step 6: Final answer
    x = 905.69

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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.