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Finding the Fourth Proportional to 690.90, 1,037.03 and 507.78

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Solution

The fourth proportional to 690.90, 1,037.03 and 507.78 is: 762.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.90 : 1,037.03 = 507.78 : x
  2. Step 2: Convert to fraction form
    690.90/1,037.03 = 507.78/x
  3. Step 3: Cross multiply
    690.90x = 1,037.03 × 507.78
  4. Step 4: Simplify right side
    690.90x = 526,583.09
  5. Step 5: Solve for x
    x = 526,583.09/690.90
  6. Step 6: Final answer
    x = 762.17

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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.