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Finding the Fourth Proportional to 964.93, 1,447.40 and 554.33

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Solution

The fourth proportional to 964.93, 1,447.40 and 554.33 is: 831.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.93 : 1,447.40 = 554.33 : x
  2. Step 2: Convert to fraction form
    964.93/1,447.40 = 554.33/x
  3. Step 3: Cross multiply
    964.93x = 1,447.40 × 554.33
  4. Step 4: Simplify right side
    964.93x = 802,337.24
  5. Step 5: Solve for x
    x = 802,337.24/964.93
  6. Step 6: Final answer
    x = 831.50

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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.