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Finding the Fourth Proportional to 948.93, 1,309.10 and 555.79

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Solution

The fourth proportional to 948.93, 1,309.10 and 555.79 is: 766.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.93 : 1,309.10 = 555.79 : x
  2. Step 2: Convert to fraction form
    948.93/1,309.10 = 555.79/x
  3. Step 3: Cross multiply
    948.93x = 1,309.10 × 555.79
  4. Step 4: Simplify right side
    948.93x = 727,578.64
  5. Step 5: Solve for x
    x = 727,578.64/948.93
  6. Step 6: Final answer
    x = 766.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.