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Finding the Fourth Proportional to 1,058.08, 1,459.62 and 684.40

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Solution

The fourth proportional to 1,058.08, 1,459.62 and 684.40 is: 944.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.08 : 1,459.62 = 684.40 : x
  2. Step 2: Convert to fraction form
    1,058.08/1,459.62 = 684.40/x
  3. Step 3: Cross multiply
    1,058.08x = 1,459.62 × 684.40
  4. Step 4: Simplify right side
    1,058.08x = 998,963.93
  5. Step 5: Solve for x
    x = 998,963.93/1,058.08
  6. Step 6: Final answer
    x = 944.13

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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.