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Finding the Fourth Proportional to 703.02, 1,055.25 and 497.82

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Solution

The fourth proportional to 703.02, 1,055.25 and 497.82 is: 747.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.02 : 1,055.25 = 497.82 : x
  2. Step 2: Convert to fraction form
    703.02/1,055.25 = 497.82/x
  3. Step 3: Cross multiply
    703.02x = 1,055.25 × 497.82
  4. Step 4: Simplify right side
    703.02x = 525,324.56
  5. Step 5: Solve for x
    x = 525,324.56/703.02
  6. Step 6: Final answer
    x = 747.24

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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.