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Finding the Fourth Proportional to 830.96, 1,146.14 and 536.34

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Solution

The fourth proportional to 830.96, 1,146.14 and 536.34 is: 739.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.96 : 1,146.14 = 536.34 : x
  2. Step 2: Convert to fraction form
    830.96/1,146.14 = 536.34/x
  3. Step 3: Cross multiply
    830.96x = 1,146.14 × 536.34
  4. Step 4: Simplify right side
    830.96x = 614,720.73
  5. Step 5: Solve for x
    x = 614,720.73/830.96
  6. Step 6: Final answer
    x = 739.77

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Double scale
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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.