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Finding the Fourth Proportional to 648, 888.76 and 570.24

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Solution

The fourth proportional to 648, 888.76 and 570.24 is: 782.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    648 : 888.76 = 570.24 : x
  2. Step 2: Convert to fraction form
    648/888.76 = 570.24/x
  3. Step 3: Cross multiply
    648x = 888.76 × 570.24
  4. Step 4: Simplify right side
    648x = 506,806.50
  5. Step 5: Solve for x
    x = 506,806.50/648
  6. Step 6: Final answer
    x = 782.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.