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Finding the Fourth Proportional to 836.16, 1,153.60 and 468.16

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Solution

The fourth proportional to 836.16, 1,153.60 and 468.16 is: 645.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.16 : 1,153.60 = 468.16 : x
  2. Step 2: Convert to fraction form
    836.16/1,153.60 = 468.16/x
  3. Step 3: Cross multiply
    836.16x = 1,153.60 × 468.16
  4. Step 4: Simplify right side
    836.16x = 540,069.38
  5. Step 5: Solve for x
    x = 540,069.38/836.16
  6. Step 6: Final answer
    x = 645.89

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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.