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Finding the Fourth Proportional to 1,042.35, 1,438.59 and 670.41

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Solution

The fourth proportional to 1,042.35, 1,438.59 and 670.41 is: 925.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.35 : 1,438.59 = 670.41 : x
  2. Step 2: Convert to fraction form
    1,042.35/1,438.59 = 670.41/x
  3. Step 3: Cross multiply
    1,042.35x = 1,438.59 × 670.41
  4. Step 4: Simplify right side
    1,042.35x = 964,448.00
  5. Step 5: Solve for x
    x = 964,448.00/1,042.35
  6. Step 6: Final answer
    x = 925.26

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1.5x scale

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.