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Finding the Fourth Proportional to 583.74, 807.66 and 510.21

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Solution

The fourth proportional to 583.74, 807.66 and 510.21 is: 705.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.74 : 807.66 = 510.21 : x
  2. Step 2: Convert to fraction form
    583.74/807.66 = 510.21/x
  3. Step 3: Cross multiply
    583.74x = 807.66 × 510.21
  4. Step 4: Simplify right side
    583.74x = 412,076.21
  5. Step 5: Solve for x
    x = 412,076.21/583.74
  6. Step 6: Final answer
    x = 705.92

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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.