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Finding the Fourth Proportional to 897.10, 1,237.98 and 547.78

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Solution

The fourth proportional to 897.10, 1,237.98 and 547.78 is: 755.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.10 : 1,237.98 = 547.78 : x
  2. Step 2: Convert to fraction form
    897.10/1,237.98 = 547.78/x
  3. Step 3: Cross multiply
    897.10x = 1,237.98 × 547.78
  4. Step 4: Simplify right side
    897.10x = 678,140.68
  5. Step 5: Solve for x
    x = 678,140.68/897.10
  6. Step 6: Final answer
    x = 755.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.