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Finding the Fourth Proportional to 954.19, 1,430.61 and 406.09

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Solution

The fourth proportional to 954.19, 1,430.61 and 406.09 is: 608.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.19 : 1,430.61 = 406.09 : x
  2. Step 2: Convert to fraction form
    954.19/1,430.61 = 406.09/x
  3. Step 3: Cross multiply
    954.19x = 1,430.61 × 406.09
  4. Step 4: Simplify right side
    954.19x = 580,956.41
  5. Step 5: Solve for x
    x = 580,956.41/954.19
  6. Step 6: Final answer
    x = 608.85

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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.