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Finding the Fourth Proportional to 1,263.88, 1,894.47 and 646.93

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Solution

The fourth proportional to 1,263.88, 1,894.47 and 646.93 is: 969.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.88 : 1,894.47 = 646.93 : x
  2. Step 2: Convert to fraction form
    1,263.88/1,894.47 = 646.93/x
  3. Step 3: Cross multiply
    1,263.88x = 1,894.47 × 646.93
  4. Step 4: Simplify right side
    1,263.88x = 1,225,589.48
  5. Step 5: Solve for x
    x = 1,225,589.48/1,263.88
  6. Step 6: Final answer
    x = 969.70

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1.5x scale

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.