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Finding the Fourth Proportional to 1,110.64, 1,656.98 and 999.93

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Solution

The fourth proportional to 1,110.64, 1,656.98 and 999.93 is: 1,491.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.64 : 1,656.98 = 999.93 : x
  2. Step 2: Convert to fraction form
    1,110.64/1,656.98 = 999.93/x
  3. Step 3: Cross multiply
    1,110.64x = 1,656.98 × 999.93
  4. Step 4: Simplify right side
    1,110.64x = 1,656,864.01
  5. Step 5: Solve for x
    x = 1,656,864.01/1,110.64
  6. Step 6: Final answer
    x = 1,491.81

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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.