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Finding the Fourth Proportional to 1,054.37, 1,455.66 and 700.78

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Solution

The fourth proportional to 1,054.37, 1,455.66 and 700.78 is: 967.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.37 : 1,455.66 = 700.78 : x
  2. Step 2: Convert to fraction form
    1,054.37/1,455.66 = 700.78/x
  3. Step 3: Cross multiply
    1,054.37x = 1,455.66 × 700.78
  4. Step 4: Simplify right side
    1,054.37x = 1,020,097.41
  5. Step 5: Solve for x
    x = 1,020,097.41/1,054.37
  6. Step 6: Final answer
    x = 967.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.