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Finding the Fourth Proportional to 948.65, 1,417.67 and 896.00

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Solution

The fourth proportional to 948.65, 1,417.67 and 896.00 is: 1,338.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.65 : 1,417.67 = 896.00 : x
  2. Step 2: Convert to fraction form
    948.65/1,417.67 = 896.00/x
  3. Step 3: Cross multiply
    948.65x = 1,417.67 × 896.00
  4. Step 4: Simplify right side
    948.65x = 1,270,224.11
  5. Step 5: Solve for x
    x = 1,270,224.11/948.65
  6. Step 6: Final answer
    x = 1,338.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.