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Finding the Fourth Proportional to 1,314.48, 1,971.90 and 584.68

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Solution

The fourth proportional to 1,314.48, 1,971.90 and 584.68 is: 877.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.48 : 1,971.90 = 584.68 : x
  2. Step 2: Convert to fraction form
    1,314.48/1,971.90 = 584.68/x
  3. Step 3: Cross multiply
    1,314.48x = 1,971.90 × 584.68
  4. Step 4: Simplify right side
    1,314.48x = 1,152,930.49
  5. Step 5: Solve for x
    x = 1,152,930.49/1,314.48
  6. Step 6: Final answer
    x = 877.10

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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.