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Finding the Fourth Proportional to 816.72, 1,126.62 and 537

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Solution

The fourth proportional to 816.72, 1,126.62 and 537 is: 740.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.72 : 1,126.62 = 537 : x
  2. Step 2: Convert to fraction form
    816.72/1,126.62 = 537/x
  3. Step 3: Cross multiply
    816.72x = 1,126.62 × 537
  4. Step 4: Simplify right side
    816.72x = 604,994.94
  5. Step 5: Solve for x
    x = 604,994.94/816.72
  6. Step 6: Final answer
    x = 740.76

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