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Finding the Fourth Proportional to 695.72, 1,038.61 and 580.20

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Solution

The fourth proportional to 695.72, 1,038.61 and 580.20 is: 866.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.72 : 1,038.61 = 580.20 : x
  2. Step 2: Convert to fraction form
    695.72/1,038.61 = 580.20/x
  3. Step 3: Cross multiply
    695.72x = 1,038.61 × 580.20
  4. Step 4: Simplify right side
    695.72x = 602,601.52
  5. Step 5: Solve for x
    x = 602,601.52/695.72
  6. Step 6: Final answer
    x = 866.16

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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.