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Finding the Fourth Proportional to 562.94, 777.61 and 510.54

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Solution

The fourth proportional to 562.94, 777.61 and 510.54 is: 705.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.94 : 777.61 = 510.54 : x
  2. Step 2: Convert to fraction form
    562.94/777.61 = 510.54/x
  3. Step 3: Cross multiply
    562.94x = 777.61 × 510.54
  4. Step 4: Simplify right side
    562.94x = 397,001.01
  5. Step 5: Solve for x
    x = 397,001.01/562.94
  6. Step 6: Final answer
    x = 705.23

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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.