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Finding the Fourth Proportional to 954.03, 1,430.25 and 406.60

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Solution

The fourth proportional to 954.03, 1,430.25 and 406.60 is: 609.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.03 : 1,430.25 = 406.60 : x
  2. Step 2: Convert to fraction form
    954.03/1,430.25 = 406.60/x
  3. Step 3: Cross multiply
    954.03x = 1,430.25 × 406.60
  4. Step 4: Simplify right side
    954.03x = 581,539.65
  5. Step 5: Solve for x
    x = 581,539.65/954.03
  6. Step 6: Final answer
    x = 609.56

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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.