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Finding the Fourth Proportional to 648.52, 968.44 and 510.01

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Solution

The fourth proportional to 648.52, 968.44 and 510.01 is: 761.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.52 : 968.44 = 510.01 : x
  2. Step 2: Convert to fraction form
    648.52/968.44 = 510.01/x
  3. Step 3: Cross multiply
    648.52x = 968.44 × 510.01
  4. Step 4: Simplify right side
    648.52x = 493,914.08
  5. Step 5: Solve for x
    x = 493,914.08/648.52
  6. Step 6: Final answer
    x = 761.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.