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Finding the Fourth Proportional to 695.09, 1,036.75 and 586.13

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Solution

The fourth proportional to 695.09, 1,036.75 and 586.13 is: 874.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.09 : 1,036.75 = 586.13 : x
  2. Step 2: Convert to fraction form
    695.09/1,036.75 = 586.13/x
  3. Step 3: Cross multiply
    695.09x = 1,036.75 × 586.13
  4. Step 4: Simplify right side
    695.09x = 607,662.16
  5. Step 5: Solve for x
    x = 607,662.16/695.09
  6. Step 6: Final answer
    x = 874.22

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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.