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Finding the Fourth Proportional to 1,014.84, 1,399.98 and 874.72

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Solution

The fourth proportional to 1,014.84, 1,399.98 and 874.72 is: 1,206.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.84 : 1,399.98 = 874.72 : x
  2. Step 2: Convert to fraction form
    1,014.84/1,399.98 = 874.72/x
  3. Step 3: Cross multiply
    1,014.84x = 1,399.98 × 874.72
  4. Step 4: Simplify right side
    1,014.84x = 1,224,590.51
  5. Step 5: Solve for x
    x = 1,224,590.51/1,014.84
  6. Step 6: Final answer
    x = 1,206.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.