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Finding the Fourth Proportional to 687.56, 947.85 and 510.26

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Solution

The fourth proportional to 687.56, 947.85 and 510.26 is: 703.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.56 : 947.85 = 510.26 : x
  2. Step 2: Convert to fraction form
    687.56/947.85 = 510.26/x
  3. Step 3: Cross multiply
    687.56x = 947.85 × 510.26
  4. Step 4: Simplify right side
    687.56x = 483,649.94
  5. Step 5: Solve for x
    x = 483,649.94/687.56
  6. Step 6: Final answer
    x = 703.43

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Why These Related Problems?

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