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Finding the Fourth Proportional to 562.58, 777.12 and 510.18

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Solution

The fourth proportional to 562.58, 777.12 and 510.18 is: 704.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.58 : 777.12 = 510.18 : x
  2. Step 2: Convert to fraction form
    562.58/777.12 = 510.18/x
  3. Step 3: Cross multiply
    562.58x = 777.12 × 510.18
  4. Step 4: Simplify right side
    562.58x = 396,473.36
  5. Step 5: Solve for x
    x = 396,473.36/562.58
  6. Step 6: Final answer
    x = 704.74

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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.