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Finding the Fourth Proportional to 519.21, 706.86 and 510.57

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Solution

The fourth proportional to 519.21, 706.86 and 510.57 is: 695.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.21 : 706.86 = 510.57 : x
  2. Step 2: Convert to fraction form
    519.21/706.86 = 510.57/x
  3. Step 3: Cross multiply
    519.21x = 706.86 × 510.57
  4. Step 4: Simplify right side
    519.21x = 360,901.51
  5. Step 5: Solve for x
    x = 360,901.51/519.21
  6. Step 6: Final answer
    x = 695.10

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.