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Finding the Fourth Proportional to 705.63, 1,054.40 and 537.93

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Solution

The fourth proportional to 705.63, 1,054.40 and 537.93 is: 803.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.63 : 1,054.40 = 537.93 : x
  2. Step 2: Convert to fraction form
    705.63/1,054.40 = 537.93/x
  3. Step 3: Cross multiply
    705.63x = 1,054.40 × 537.93
  4. Step 4: Simplify right side
    705.63x = 567,189.98
  5. Step 5: Solve for x
    x = 567,189.98/705.63
  6. Step 6: Final answer
    x = 803.81

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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.