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Finding the Fourth Proportional to 954.15, 1,430.59 and 406.18

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Solution

The fourth proportional to 954.15, 1,430.59 and 406.18 is: 609.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.15 : 1,430.59 = 406.18 : x
  2. Step 2: Convert to fraction form
    954.15/1,430.59 = 406.18/x
  3. Step 3: Cross multiply
    954.15x = 1,430.59 × 406.18
  4. Step 4: Simplify right side
    954.15x = 581,077.05
  5. Step 5: Solve for x
    x = 581,077.05/954.15
  6. Step 6: Final answer
    x = 609.00

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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.