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Finding the Fourth Proportional to 1,047.95, 1,559.58 and 1,009.07

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Solution

The fourth proportional to 1,047.95, 1,559.58 and 1,009.07 is: 1,501.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.95 : 1,559.58 = 1,009.07 : x
  2. Step 2: Convert to fraction form
    1,047.95/1,559.58 = 1,009.07/x
  3. Step 3: Cross multiply
    1,047.95x = 1,559.58 × 1,009.07
  4. Step 4: Simplify right side
    1,047.95x = 1,573,725.39
  5. Step 5: Solve for x
    x = 1,573,725.39/1,047.95
  6. Step 6: Final answer
    x = 1,501.72

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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.