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Finding the Fourth Proportional to 1,064.45, 1,595.72 and 415.64

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Solution

The fourth proportional to 1,064.45, 1,595.72 and 415.64 is: 623.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.45 : 1,595.72 = 415.64 : x
  2. Step 2: Convert to fraction form
    1,064.45/1,595.72 = 415.64/x
  3. Step 3: Cross multiply
    1,064.45x = 1,595.72 × 415.64
  4. Step 4: Simplify right side
    1,064.45x = 663,238.12
  5. Step 5: Solve for x
    x = 663,238.12/1,064.45
  6. Step 6: Final answer
    x = 623.08

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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.