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Finding the Fourth Proportional to 596.40, 895.56 and 308.40

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Solution

The fourth proportional to 596.40, 895.56 and 308.40 is: 463.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.40 : 895.56 = 308.40 : x
  2. Step 2: Convert to fraction form
    596.40/895.56 = 308.40/x
  3. Step 3: Cross multiply
    596.40x = 895.56 × 308.40
  4. Step 4: Simplify right side
    596.40x = 276,190.70
  5. Step 5: Solve for x
    x = 276,190.70/596.40
  6. Step 6: Final answer
    x = 463.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.