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Finding the Fourth Proportional to 895.23, 1,341.81 and 347.10

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Solution

The fourth proportional to 895.23, 1,341.81 and 347.10 is: 520.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.23 : 1,341.81 = 347.10 : x
  2. Step 2: Convert to fraction form
    895.23/1,341.81 = 347.10/x
  3. Step 3: Cross multiply
    895.23x = 1,341.81 × 347.10
  4. Step 4: Simplify right side
    895.23x = 465,742.25
  5. Step 5: Solve for x
    x = 465,742.25/895.23
  6. Step 6: Final answer
    x = 520.25

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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.