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Finding the Fourth Proportional to 617.28, 851.57 and 407.19

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Solution

The fourth proportional to 617.28, 851.57 and 407.19 is: 561.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.28 : 851.57 = 407.19 : x
  2. Step 2: Convert to fraction form
    617.28/851.57 = 407.19/x
  3. Step 3: Cross multiply
    617.28x = 851.57 × 407.19
  4. Step 4: Simplify right side
    617.28x = 346,750.79
  5. Step 5: Solve for x
    x = 346,750.79/617.28
  6. Step 6: Final answer
    x = 561.74

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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.