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Finding the Fourth Proportional to 1,042.34, 1,430.88 and 894.71

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Solution

The fourth proportional to 1,042.34, 1,430.88 and 894.71 is: 1,228.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.34 : 1,430.88 = 894.71 : x
  2. Step 2: Convert to fraction form
    1,042.34/1,430.88 = 894.71/x
  3. Step 3: Cross multiply
    1,042.34x = 1,430.88 × 894.71
  4. Step 4: Simplify right side
    1,042.34x = 1,280,215.49
  5. Step 5: Solve for x
    x = 1,280,215.49/1,042.34
  6. Step 6: Final answer
    x = 1,228.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.