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Finding the Fourth Proportional to 1,036.58, 1,430.33 and 643.46

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Solution

The fourth proportional to 1,036.58, 1,430.33 and 643.46 is: 887.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.58 : 1,430.33 = 643.46 : x
  2. Step 2: Convert to fraction form
    1,036.58/1,430.33 = 643.46/x
  3. Step 3: Cross multiply
    1,036.58x = 1,430.33 × 643.46
  4. Step 4: Simplify right side
    1,036.58x = 920,349.77
  5. Step 5: Solve for x
    x = 920,349.77/1,036.58
  6. Step 6: Final answer
    x = 887.88

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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.