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Finding the Fourth Proportional to 738.64, 1,019.46 and 476.74

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Solution

The fourth proportional to 738.64, 1,019.46 and 476.74 is: 657.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.64 : 1,019.46 = 476.74 : x
  2. Step 2: Convert to fraction form
    738.64/1,019.46 = 476.74/x
  3. Step 3: Cross multiply
    738.64x = 1,019.46 × 476.74
  4. Step 4: Simplify right side
    738.64x = 486,017.36
  5. Step 5: Solve for x
    x = 486,017.36/738.64
  6. Step 6: Final answer
    x = 657.99

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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.