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Finding the Fourth Proportional to 948.51, 1,303.29 and 773.55

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Solution

The fourth proportional to 948.51, 1,303.29 and 773.55 is: 1,062.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.51 : 1,303.29 = 773.55 : x
  2. Step 2: Convert to fraction form
    948.51/1,303.29 = 773.55/x
  3. Step 3: Cross multiply
    948.51x = 1,303.29 × 773.55
  4. Step 4: Simplify right side
    948.51x = 1,008,159.98
  5. Step 5: Solve for x
    x = 1,008,159.98/948.51
  6. Step 6: Final answer
    x = 1,062.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.