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Finding the Fourth Proportional to 521.64, 783.03 and 302.51

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Solution

The fourth proportional to 521.64, 783.03 and 302.51 is: 454.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.64 : 783.03 = 302.51 : x
  2. Step 2: Convert to fraction form
    521.64/783.03 = 302.51/x
  3. Step 3: Cross multiply
    521.64x = 783.03 × 302.51
  4. Step 4: Simplify right side
    521.64x = 236,870.49
  5. Step 5: Solve for x
    x = 236,870.49/521.64
  6. Step 6: Final answer
    x = 454.09

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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.