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Finding the Fourth Proportional to 1,590.63, 2,385.94 and 436.38

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Solution

The fourth proportional to 1,590.63, 2,385.94 and 436.38 is: 654.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.63 : 2,385.94 = 436.38 : x
  2. Step 2: Convert to fraction form
    1,590.63/2,385.94 = 436.38/x
  3. Step 3: Cross multiply
    1,590.63x = 2,385.94 × 436.38
  4. Step 4: Simplify right side
    1,590.63x = 1,041,176.50
  5. Step 5: Solve for x
    x = 1,041,176.50/1,590.63
  6. Step 6: Final answer
    x = 654.57

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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.