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Finding the Fourth Proportional to 954.24, 1,431.28 and 304.80

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Solution

The fourth proportional to 954.24, 1,431.28 and 304.80 is: 457.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.24 : 1,431.28 = 304.80 : x
  2. Step 2: Convert to fraction form
    954.24/1,431.28 = 304.80/x
  3. Step 3: Cross multiply
    954.24x = 1,431.28 × 304.80
  4. Step 4: Simplify right side
    954.24x = 436,254.14
  5. Step 5: Solve for x
    x = 436,254.14/954.24
  6. Step 6: Final answer
    x = 457.17

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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.