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Finding the Fourth Proportional to 1,590.89, 2,386.34 and 436.64

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Solution

The fourth proportional to 1,590.89, 2,386.34 and 436.64 is: 654.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.89 : 2,386.34 = 436.64 : x
  2. Step 2: Convert to fraction form
    1,590.89/2,386.34 = 436.64/x
  3. Step 3: Cross multiply
    1,590.89x = 2,386.34 × 436.64
  4. Step 4: Simplify right side
    1,590.89x = 1,041,971.22
  5. Step 5: Solve for x
    x = 1,041,971.22/1,590.89
  6. Step 6: Final answer
    x = 654.96

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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.