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Finding the Fourth Proportional to 1,041.58, 1,431.37 and 993.40

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Solution

The fourth proportional to 1,041.58, 1,431.37 and 993.40 is: 1,365.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.58 : 1,431.37 = 993.40 : x
  2. Step 2: Convert to fraction form
    1,041.58/1,431.37 = 993.40/x
  3. Step 3: Cross multiply
    1,041.58x = 1,431.37 × 993.40
  4. Step 4: Simplify right side
    1,041.58x = 1,421,924.89
  5. Step 5: Solve for x
    x = 1,421,924.89/1,041.58
  6. Step 6: Final answer
    x = 1,365.16

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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.