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Finding the Fourth Proportional to 1,590, 2,385.56 and 895.92

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Solution

The fourth proportional to 1,590, 2,385.56 and 895.92 is: 1,344.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590 : 2,385.56 = 895.92 : x
  2. Step 2: Convert to fraction form
    1,590/2,385.56 = 895.92/x
  3. Step 3: Cross multiply
    1,590x = 2,385.56 × 895.92
  4. Step 4: Simplify right side
    1,590x = 2,137,270.92
  5. Step 5: Solve for x
    x = 2,137,270.92/1,590
  6. Step 6: Final answer
    x = 1,344.20

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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.