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Finding the Fourth Proportional to 1,410.50, 1,946.04 and 913.52

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Solution

The fourth proportional to 1,410.50, 1,946.04 and 913.52 is: 1,260.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.50 : 1,946.04 = 913.52 : x
  2. Step 2: Convert to fraction form
    1,410.50/1,946.04 = 913.52/x
  3. Step 3: Cross multiply
    1,410.50x = 1,946.04 × 913.52
  4. Step 4: Simplify right side
    1,410.50x = 1,777,746.46
  5. Step 5: Solve for x
    x = 1,777,746.46/1,410.50
  6. Step 6: Final answer
    x = 1,260.37

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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.