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Finding the Fourth Proportional to 1,263.47, 1,742.58 and 865.35

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Solution

The fourth proportional to 1,263.47, 1,742.58 and 865.35 is: 1,193.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.47 : 1,742.58 = 865.35 : x
  2. Step 2: Convert to fraction form
    1,263.47/1,742.58 = 865.35/x
  3. Step 3: Cross multiply
    1,263.47x = 1,742.58 × 865.35
  4. Step 4: Simplify right side
    1,263.47x = 1,507,941.60
  5. Step 5: Solve for x
    x = 1,507,941.60/1,263.47
  6. Step 6: Final answer
    x = 1,193.50

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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.