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Finding the Fourth Proportional to 956.33, 1,432.67 and 647.66

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Solution

The fourth proportional to 956.33, 1,432.67 and 647.66 is: 970.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.33 : 1,432.67 = 647.66 : x
  2. Step 2: Convert to fraction form
    956.33/1,432.67 = 647.66/x
  3. Step 3: Cross multiply
    956.33x = 1,432.67 × 647.66
  4. Step 4: Simplify right side
    956.33x = 927,877.51
  5. Step 5: Solve for x
    x = 927,877.51/956.33
  6. Step 6: Final answer
    x = 970.25

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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.