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Finding the Fourth Proportional to 1,036.71, 1,430.63 and 588.52

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Solution

The fourth proportional to 1,036.71, 1,430.63 and 588.52 is: 812.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.71 : 1,430.63 = 588.52 : x
  2. Step 2: Convert to fraction form
    1,036.71/1,430.63 = 588.52/x
  3. Step 3: Cross multiply
    1,036.71x = 1,430.63 × 588.52
  4. Step 4: Simplify right side
    1,036.71x = 841,954.37
  5. Step 5: Solve for x
    x = 841,954.37/1,036.71
  6. Step 6: Final answer
    x = 812.14

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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.