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Finding the Fourth Proportional to 1,085.04, 1,497.60 and 910.08

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Solution

The fourth proportional to 1,085.04, 1,497.60 and 910.08 is: 1,256.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.04 : 1,497.60 = 910.08 : x
  2. Step 2: Convert to fraction form
    1,085.04/1,497.60 = 910.08/x
  3. Step 3: Cross multiply
    1,085.04x = 1,497.60 × 910.08
  4. Step 4: Simplify right side
    1,085.04x = 1,362,935.81
  5. Step 5: Solve for x
    x = 1,362,935.81/1,085.04
  6. Step 6: Final answer
    x = 1,256.12

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Why These Related Problems?

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