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Finding the Fourth Proportional to 1,613.61, 2,421.51 and 639.93

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Solution

The fourth proportional to 1,613.61, 2,421.51 and 639.93 is: 960.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.61 : 2,421.51 = 639.93 : x
  2. Step 2: Convert to fraction form
    1,613.61/2,421.51 = 639.93/x
  3. Step 3: Cross multiply
    1,613.61x = 2,421.51 × 639.93
  4. Step 4: Simplify right side
    1,613.61x = 1,549,596.89
  5. Step 5: Solve for x
    x = 1,549,596.89/1,613.61
  6. Step 6: Final answer
    x = 960.33

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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.