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Finding the Fourth Proportional to 1,117.02, 1,675.64 and 295.35

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Solution

The fourth proportional to 1,117.02, 1,675.64 and 295.35 is: 443.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.02 : 1,675.64 = 295.35 : x
  2. Step 2: Convert to fraction form
    1,117.02/1,675.64 = 295.35/x
  3. Step 3: Cross multiply
    1,117.02x = 1,675.64 × 295.35
  4. Step 4: Simplify right side
    1,117.02x = 494,900.27
  5. Step 5: Solve for x
    x = 494,900.27/1,117.02
  6. Step 6: Final answer
    x = 443.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.