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Finding the Fourth Proportional to 738.04, 1,017.78 and 476.20

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Solution

The fourth proportional to 738.04, 1,017.78 and 476.20 is: 656.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.04 : 1,017.78 = 476.20 : x
  2. Step 2: Convert to fraction form
    738.04/1,017.78 = 476.20/x
  3. Step 3: Cross multiply
    738.04x = 1,017.78 × 476.20
  4. Step 4: Simplify right side
    738.04x = 484,666.84
  5. Step 5: Solve for x
    x = 484,666.84/738.04
  6. Step 6: Final answer
    x = 656.69

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1.5x scale

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.