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Finding the Fourth Proportional to 1,036.07, 1,429.07 and 642.41

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Solution

The fourth proportional to 1,036.07, 1,429.07 and 642.41 is: 886.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.07 : 1,429.07 = 642.41 : x
  2. Step 2: Convert to fraction form
    1,036.07/1,429.07 = 642.41/x
  3. Step 3: Cross multiply
    1,036.07x = 1,429.07 × 642.41
  4. Step 4: Simplify right side
    1,036.07x = 918,038.50
  5. Step 5: Solve for x
    x = 918,038.50/1,036.07
  6. Step 6: Final answer
    x = 886.08

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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.