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Finding the Fourth Proportional to 1,118.61, 1,670.38 and 913.58

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Solution

The fourth proportional to 1,118.61, 1,670.38 and 913.58 is: 1,364.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.61 : 1,670.38 = 913.58 : x
  2. Step 2: Convert to fraction form
    1,118.61/1,670.38 = 913.58/x
  3. Step 3: Cross multiply
    1,118.61x = 1,670.38 × 913.58
  4. Step 4: Simplify right side
    1,118.61x = 1,526,031.08
  5. Step 5: Solve for x
    x = 1,526,031.08/1,118.61
  6. Step 6: Final answer
    x = 1,364.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.