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Finding the Fourth Proportional to 1,215.42, 1,823.04 and 349.71

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Solution

The fourth proportional to 1,215.42, 1,823.04 and 349.71 is: 524.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.42 : 1,823.04 = 349.71 : x
  2. Step 2: Convert to fraction form
    1,215.42/1,823.04 = 349.71/x
  3. Step 3: Cross multiply
    1,215.42x = 1,823.04 × 349.71
  4. Step 4: Simplify right side
    1,215.42x = 637,535.32
  5. Step 5: Solve for x
    x = 637,535.32/1,215.42
  6. Step 6: Final answer
    x = 524.54

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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.