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Finding the Fourth Proportional to 1,047.91, 1,572.41 and 585.40

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Solution

The fourth proportional to 1,047.91, 1,572.41 and 585.40 is: 878.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.91 : 1,572.41 = 585.40 : x
  2. Step 2: Convert to fraction form
    1,047.91/1,572.41 = 585.40/x
  3. Step 3: Cross multiply
    1,047.91x = 1,572.41 × 585.40
  4. Step 4: Simplify right side
    1,047.91x = 920,488.81
  5. Step 5: Solve for x
    x = 920,488.81/1,047.91
  6. Step 6: Final answer
    x = 878.40

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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.