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Finding the Fourth Proportional to 713.64, 1,068.16 and 383.74

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Solution

The fourth proportional to 713.64, 1,068.16 and 383.74 is: 574.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.64 : 1,068.16 = 383.74 : x
  2. Step 2: Convert to fraction form
    713.64/1,068.16 = 383.74/x
  3. Step 3: Cross multiply
    713.64x = 1,068.16 × 383.74
  4. Step 4: Simplify right side
    713.64x = 409,895.72
  5. Step 5: Solve for x
    x = 409,895.72/713.64
  6. Step 6: Final answer
    x = 574.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.