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Finding the Fourth Proportional to 1,263.33, 1,895.42 and 646.87

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Solution

The fourth proportional to 1,263.33, 1,895.42 and 646.87 is: 970.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.33 : 1,895.42 = 646.87 : x
  2. Step 2: Convert to fraction form
    1,263.33/1,895.42 = 646.87/x
  3. Step 3: Cross multiply
    1,263.33x = 1,895.42 × 646.87
  4. Step 4: Simplify right side
    1,263.33x = 1,226,090.34
  5. Step 5: Solve for x
    x = 1,226,090.34/1,263.33
  6. Step 6: Final answer
    x = 970.52

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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.