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Finding the Fourth Proportional to 628.06, 942.45 and 507.10

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Solution

The fourth proportional to 628.06, 942.45 and 507.10 is: 760.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.06 : 942.45 = 507.10 : x
  2. Step 2: Convert to fraction form
    628.06/942.45 = 507.10/x
  3. Step 3: Cross multiply
    628.06x = 942.45 × 507.10
  4. Step 4: Simplify right side
    628.06x = 477,916.40
  5. Step 5: Solve for x
    x = 477,916.40/628.06
  6. Step 6: Final answer
    x = 760.94

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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.