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Finding the Fourth Proportional to 1,284.96, 1,927.84 and 977.16

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Solution

The fourth proportional to 1,284.96, 1,927.84 and 977.16 is: 1,466.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.96 : 1,927.84 = 977.16 : x
  2. Step 2: Convert to fraction form
    1,284.96/1,927.84 = 977.16/x
  3. Step 3: Cross multiply
    1,284.96x = 1,927.84 × 977.16
  4. Step 4: Simplify right side
    1,284.96x = 1,883,808.13
  5. Step 5: Solve for x
    x = 1,883,808.13/1,284.96
  6. Step 6: Final answer
    x = 1,466.04

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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.