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Finding the Fourth Proportional to 1,058.97, 1,461.47 and 666.39

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Solution

The fourth proportional to 1,058.97, 1,461.47 and 666.39 is: 919.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.97 : 1,461.47 = 666.39 : x
  2. Step 2: Convert to fraction form
    1,058.97/1,461.47 = 666.39/x
  3. Step 3: Cross multiply
    1,058.97x = 1,461.47 × 666.39
  4. Step 4: Simplify right side
    1,058.97x = 973,908.99
  5. Step 5: Solve for x
    x = 973,908.99/1,058.97
  6. Step 6: Final answer
    x = 919.68

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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.