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Finding the Fourth Proportional to 1,284.71, 1,925.51 and 590.42

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Solution

The fourth proportional to 1,284.71, 1,925.51 and 590.42 is: 884.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.71 : 1,925.51 = 590.42 : x
  2. Step 2: Convert to fraction form
    1,284.71/1,925.51 = 590.42/x
  3. Step 3: Cross multiply
    1,284.71x = 1,925.51 × 590.42
  4. Step 4: Simplify right side
    1,284.71x = 1,136,861.48
  5. Step 5: Solve for x
    x = 1,136,861.48/1,284.71
  6. Step 6: Final answer
    x = 884.92

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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.