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Finding the Fourth Proportional to 702.94, 1,053.56 and 497.57

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Solution

The fourth proportional to 702.94, 1,053.56 and 497.57 is: 745.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.94 : 1,053.56 = 497.57 : x
  2. Step 2: Convert to fraction form
    702.94/1,053.56 = 497.57/x
  3. Step 3: Cross multiply
    702.94x = 1,053.56 × 497.57
  4. Step 4: Simplify right side
    702.94x = 524,219.85
  5. Step 5: Solve for x
    x = 524,219.85/702.94
  6. Step 6: Final answer
    x = 745.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.