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Finding the Fourth Proportional to 626.93, 864.05 and 510.29

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Solution

The fourth proportional to 626.93, 864.05 and 510.29 is: 703.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.93 : 864.05 = 510.29 : x
  2. Step 2: Convert to fraction form
    626.93/864.05 = 510.29/x
  3. Step 3: Cross multiply
    626.93x = 864.05 × 510.29
  4. Step 4: Simplify right side
    626.93x = 440,913.52
  5. Step 5: Solve for x
    x = 440,913.52/626.93
  6. Step 6: Final answer
    x = 703.29

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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.