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Finding the Fourth Proportional to 834.38, 1,151.53 and 601.64

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Solution

The fourth proportional to 834.38, 1,151.53 and 601.64 is: 830.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.38 : 1,151.53 = 601.64 : x
  2. Step 2: Convert to fraction form
    834.38/1,151.53 = 601.64/x
  3. Step 3: Cross multiply
    834.38x = 1,151.53 × 601.64
  4. Step 4: Simplify right side
    834.38x = 692,806.51
  5. Step 5: Solve for x
    x = 692,806.51/834.38
  6. Step 6: Final answer
    x = 830.32

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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.