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Finding the Fourth Proportional to 707.44, 974.94 and 510.61

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Solution

The fourth proportional to 707.44, 974.94 and 510.61 is: 703.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.44 : 974.94 = 510.61 : x
  2. Step 2: Convert to fraction form
    707.44/974.94 = 510.61/x
  3. Step 3: Cross multiply
    707.44x = 974.94 × 510.61
  4. Step 4: Simplify right side
    707.44x = 497,814.11
  5. Step 5: Solve for x
    x = 497,814.11/707.44
  6. Step 6: Final answer
    x = 703.68

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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.