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Finding the Fourth Proportional to 1,036.74, 1,430.69 and 588.60

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Solution

The fourth proportional to 1,036.74, 1,430.69 and 588.60 is: 812.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.74 : 1,430.69 = 588.60 : x
  2. Step 2: Convert to fraction form
    1,036.74/1,430.69 = 588.60/x
  3. Step 3: Cross multiply
    1,036.74x = 1,430.69 × 588.60
  4. Step 4: Simplify right side
    1,036.74x = 842,104.13
  5. Step 5: Solve for x
    x = 842,104.13/1,036.74
  6. Step 6: Final answer
    x = 812.26

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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.