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Finding the Fourth Proportional to 954.00, 1,430.44 and 405.90

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Solution

The fourth proportional to 954.00, 1,430.44 and 405.90 is: 608.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.00 : 1,430.44 = 405.90 : x
  2. Step 2: Convert to fraction form
    954.00/1,430.44 = 405.90/x
  3. Step 3: Cross multiply
    954.00x = 1,430.44 × 405.90
  4. Step 4: Simplify right side
    954.00x = 580,606.41
  5. Step 5: Solve for x
    x = 580,606.41/954.00
  6. Step 6: Final answer
    x = 608.61

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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.