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Finding the Fourth Proportional to 521.55, 719.64 and 300.51

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Solution

The fourth proportional to 521.55, 719.64 and 300.51 is: 414.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.55 : 719.64 = 300.51 : x
  2. Step 2: Convert to fraction form
    521.55/719.64 = 300.51/x
  3. Step 3: Cross multiply
    521.55x = 719.64 × 300.51
  4. Step 4: Simplify right side
    521.55x = 216,259.02
  5. Step 5: Solve for x
    x = 216,259.02/521.55
  6. Step 6: Final answer
    x = 414.65

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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.