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Finding the Fourth Proportional to 1,038.63, 1,432.71 and 684.62

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Solution

The fourth proportional to 1,038.63, 1,432.71 and 684.62 is: 944.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.63 : 1,432.71 = 684.62 : x
  2. Step 2: Convert to fraction form
    1,038.63/1,432.71 = 684.62/x
  3. Step 3: Cross multiply
    1,038.63x = 1,432.71 × 684.62
  4. Step 4: Simplify right side
    1,038.63x = 980,861.92
  5. Step 5: Solve for x
    x = 980,861.92/1,038.63
  6. Step 6: Final answer
    x = 944.38

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1.5x scale

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.