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Finding the Fourth Proportional to 762.90, 1,145.70 and 557.70

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Solution

The fourth proportional to 762.90, 1,145.70 and 557.70 is: 837.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.90 : 1,145.70 = 557.70 : x
  2. Step 2: Convert to fraction form
    762.90/1,145.70 = 557.70/x
  3. Step 3: Cross multiply
    762.90x = 1,145.70 × 557.70
  4. Step 4: Simplify right side
    762.90x = 638,956.89
  5. Step 5: Solve for x
    x = 638,956.89/762.90
  6. Step 6: Final answer
    x = 837.54

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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.