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Finding the Fourth Proportional to 895.44, 1,341.48 and 570.12

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Solution

The fourth proportional to 895.44, 1,341.48 and 570.12 is: 854.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.44 : 1,341.48 = 570.12 : x
  2. Step 2: Convert to fraction form
    895.44/1,341.48 = 570.12/x
  3. Step 3: Cross multiply
    895.44x = 1,341.48 × 570.12
  4. Step 4: Simplify right side
    895.44x = 764,804.58
  5. Step 5: Solve for x
    x = 764,804.58/895.44
  6. Step 6: Final answer
    x = 854.11

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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.