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Finding the Fourth Proportional to 830.96, 1,240.58 and 634.93

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Solution

The fourth proportional to 830.96, 1,240.58 and 634.93 is: 947.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.96 : 1,240.58 = 634.93 : x
  2. Step 2: Convert to fraction form
    830.96/1,240.58 = 634.93/x
  3. Step 3: Cross multiply
    830.96x = 1,240.58 × 634.93
  4. Step 4: Simplify right side
    830.96x = 787,675.26
  5. Step 5: Solve for x
    x = 787,675.26/830.96
  6. Step 6: Final answer
    x = 947.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.