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Finding the Fourth Proportional to 895.60, 1,344.60 and 572.40

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Solution

The fourth proportional to 895.60, 1,344.60 and 572.40 is: 859.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.60 : 1,344.60 = 572.40 : x
  2. Step 2: Convert to fraction form
    895.60/1,344.60 = 572.40/x
  3. Step 3: Cross multiply
    895.60x = 1,344.60 × 572.40
  4. Step 4: Simplify right side
    895.60x = 769,649.04
  5. Step 5: Solve for x
    x = 769,649.04/895.60
  6. Step 6: Final answer
    x = 859.37

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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.