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Finding the Fourth Proportional to 1,133.36, 1,698.40 and 612.94

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Solution

The fourth proportional to 1,133.36, 1,698.40 and 612.94 is: 918.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.36 : 1,698.40 = 612.94 : x
  2. Step 2: Convert to fraction form
    1,133.36/1,698.40 = 612.94/x
  3. Step 3: Cross multiply
    1,133.36x = 1,698.40 × 612.94
  4. Step 4: Simplify right side
    1,133.36x = 1,041,017.30
  5. Step 5: Solve for x
    x = 1,041,017.30/1,133.36
  6. Step 6: Final answer
    x = 918.52

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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.