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Finding the Fourth Proportional to 933.85, 1,288.66 and 686.21

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Solution

The fourth proportional to 933.85, 1,288.66 and 686.21 is: 946.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.85 : 1,288.66 = 686.21 : x
  2. Step 2: Convert to fraction form
    933.85/1,288.66 = 686.21/x
  3. Step 3: Cross multiply
    933.85x = 1,288.66 × 686.21
  4. Step 4: Simplify right side
    933.85x = 884,291.38
  5. Step 5: Solve for x
    x = 884,291.38/933.85
  6. Step 6: Final answer
    x = 946.93

Related Problems

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Half scale
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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.