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Finding the Fourth Proportional to 903.93, 1,242.63 and 777.43

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Solution

The fourth proportional to 903.93, 1,242.63 and 777.43 is: 1,068.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.93 : 1,242.63 = 777.43 : x
  2. Step 2: Convert to fraction form
    903.93/1,242.63 = 777.43/x
  3. Step 3: Cross multiply
    903.93x = 1,242.63 × 777.43
  4. Step 4: Simplify right side
    903.93x = 966,047.74
  5. Step 5: Solve for x
    x = 966,047.74/903.93
  6. Step 6: Final answer
    x = 1,068.72

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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.