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Finding the Fourth Proportional to 707.04, 976.59 and 510.21

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Solution

The fourth proportional to 707.04, 976.59 and 510.21 is: 704.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.04 : 976.59 = 510.21 : x
  2. Step 2: Convert to fraction form
    707.04/976.59 = 510.21/x
  3. Step 3: Cross multiply
    707.04x = 976.59 × 510.21
  4. Step 4: Simplify right side
    707.04x = 498,265.98
  5. Step 5: Solve for x
    x = 498,265.98/707.04
  6. Step 6: Final answer
    x = 704.72

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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.