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Finding the Fourth Proportional to 1,569.72, 2,354.58 and 415.64

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Solution

The fourth proportional to 1,569.72, 2,354.58 and 415.64 is: 623.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.72 : 2,354.58 = 415.64 : x
  2. Step 2: Convert to fraction form
    1,569.72/2,354.58 = 415.64/x
  3. Step 3: Cross multiply
    1,569.72x = 2,354.58 × 415.64
  4. Step 4: Simplify right side
    1,569.72x = 978,657.63
  5. Step 5: Solve for x
    x = 978,657.63/1,569.72
  6. Step 6: Final answer
    x = 623.46

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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.