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Finding the Fourth Proportional to 702.75, 1,054.68 and 497.52

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Solution

The fourth proportional to 702.75, 1,054.68 and 497.52 is: 746.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.75 : 1,054.68 = 497.52 : x
  2. Step 2: Convert to fraction form
    702.75/1,054.68 = 497.52/x
  3. Step 3: Cross multiply
    702.75x = 1,054.68 × 497.52
  4. Step 4: Simplify right side
    702.75x = 524,724.39
  5. Step 5: Solve for x
    x = 524,724.39/702.75
  6. Step 6: Final answer
    x = 746.67

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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.