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Finding the Fourth Proportional to 1,036.20, 1,430.04 and 594.12

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Solution

The fourth proportional to 1,036.20, 1,430.04 and 594.12 is: 819.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.20 : 1,430.04 = 594.12 : x
  2. Step 2: Convert to fraction form
    1,036.20/1,430.04 = 594.12/x
  3. Step 3: Cross multiply
    1,036.20x = 1,430.04 × 594.12
  4. Step 4: Simplify right side
    1,036.20x = 849,615.36
  5. Step 5: Solve for x
    x = 849,615.36/1,036.20
  6. Step 6: Final answer
    x = 819.93

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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.