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Finding the Fourth Proportional to 954.63, 1,430.69 and 406.15

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Solution

The fourth proportional to 954.63, 1,430.69 and 406.15 is: 608.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.63 : 1,430.69 = 406.15 : x
  2. Step 2: Convert to fraction form
    954.63/1,430.69 = 406.15/x
  3. Step 3: Cross multiply
    954.63x = 1,430.69 × 406.15
  4. Step 4: Simplify right side
    954.63x = 581,069.14
  5. Step 5: Solve for x
    x = 581,069.14/954.63
  6. Step 6: Final answer
    x = 608.69

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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.