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Finding the Fourth Proportional to 1,630.43, 2,445.29 and 535.01

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Solution

The fourth proportional to 1,630.43, 2,445.29 and 535.01 is: 802.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.43 : 2,445.29 = 535.01 : x
  2. Step 2: Convert to fraction form
    1,630.43/2,445.29 = 535.01/x
  3. Step 3: Cross multiply
    1,630.43x = 2,445.29 × 535.01
  4. Step 4: Simplify right side
    1,630.43x = 1,308,241.71
  5. Step 5: Solve for x
    x = 1,308,241.71/1,630.43
  6. Step 6: Final answer
    x = 802.39

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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.