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Finding the Fourth Proportional to 954.78, 1,430.73 and 889.26

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Solution

The fourth proportional to 954.78, 1,430.73 and 889.26 is: 1,332.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.78 : 1,430.73 = 889.26 : x
  2. Step 2: Convert to fraction form
    954.78/1,430.73 = 889.26/x
  3. Step 3: Cross multiply
    954.78x = 1,430.73 × 889.26
  4. Step 4: Simplify right side
    954.78x = 1,272,290.96
  5. Step 5: Solve for x
    x = 1,272,290.96/954.78
  6. Step 6: Final answer
    x = 1,332.55

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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.