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Finding the Fourth Proportional to 954.08, 1,430.28 and 628.76

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Solution

The fourth proportional to 954.08, 1,430.28 and 628.76 is: 942.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.08 : 1,430.28 = 628.76 : x
  2. Step 2: Convert to fraction form
    954.08/1,430.28 = 628.76/x
  3. Step 3: Cross multiply
    954.08x = 1,430.28 × 628.76
  4. Step 4: Simplify right side
    954.08x = 899,302.85
  5. Step 5: Solve for x
    x = 899,302.85/954.08
  6. Step 6: Final answer
    x = 942.59

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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.