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Finding the Fourth Proportional to 954.14, 1,430.84 and 304.52

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Solution

The fourth proportional to 954.14, 1,430.84 and 304.52 is: 456.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.14 : 1,430.84 = 304.52 : x
  2. Step 2: Convert to fraction form
    954.14/1,430.84 = 304.52/x
  3. Step 3: Cross multiply
    954.14x = 1,430.84 × 304.52
  4. Step 4: Simplify right side
    954.14x = 435,713.00
  5. Step 5: Solve for x
    x = 435,713.00/954.14
  6. Step 6: Final answer
    x = 456.66

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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.