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Finding the Fourth Proportional to 703.47, 1,054.63 and 529.81

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Solution

The fourth proportional to 703.47, 1,054.63 and 529.81 is: 794.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.47 : 1,054.63 = 529.81 : x
  2. Step 2: Convert to fraction form
    703.47/1,054.63 = 529.81/x
  3. Step 3: Cross multiply
    703.47x = 1,054.63 × 529.81
  4. Step 4: Simplify right side
    703.47x = 558,751.55
  5. Step 5: Solve for x
    x = 558,751.55/703.47
  6. Step 6: Final answer
    x = 794.27

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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.