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Finding the Fourth Proportional to 507.45, 760.87 and 430.10

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Solution

The fourth proportional to 507.45, 760.87 and 430.10 is: 644.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.45 : 760.87 = 430.10 : x
  2. Step 2: Convert to fraction form
    507.45/760.87 = 430.10/x
  3. Step 3: Cross multiply
    507.45x = 760.87 × 430.10
  4. Step 4: Simplify right side
    507.45x = 327,250.19
  5. Step 5: Solve for x
    x = 327,250.19/507.45
  6. Step 6: Final answer
    x = 644.89

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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.