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Finding the Fourth Proportional to 838.84, 1,157.58 and 465.84

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Solution

The fourth proportional to 838.84, 1,157.58 and 465.84 is: 642.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.84 : 1,157.58 = 465.84 : x
  2. Step 2: Convert to fraction form
    838.84/1,157.58 = 465.84/x
  3. Step 3: Cross multiply
    838.84x = 1,157.58 × 465.84
  4. Step 4: Simplify right side
    838.84x = 539,247.07
  5. Step 5: Solve for x
    x = 539,247.07/838.84
  6. Step 6: Final answer
    x = 642.85

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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.