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Finding the Fourth Proportional to 899.47, 1,348.74 and 412.84

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Solution

The fourth proportional to 899.47, 1,348.74 and 412.84 is: 619.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.47 : 1,348.74 = 412.84 : x
  2. Step 2: Convert to fraction form
    899.47/1,348.74 = 412.84/x
  3. Step 3: Cross multiply
    899.47x = 1,348.74 × 412.84
  4. Step 4: Simplify right side
    899.47x = 556,813.82
  5. Step 5: Solve for x
    x = 556,813.82/899.47
  6. Step 6: Final answer
    x = 619.05

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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.