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Finding the Fourth Proportional to 524.04, 781.48 and 459.34

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Solution

The fourth proportional to 524.04, 781.48 and 459.34 is: 685.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.04 : 781.48 = 459.34 : x
  2. Step 2: Convert to fraction form
    524.04/781.48 = 459.34/x
  3. Step 3: Cross multiply
    524.04x = 781.48 × 459.34
  4. Step 4: Simplify right side
    524.04x = 358,965.02
  5. Step 5: Solve for x
    x = 358,965.02/524.04
  6. Step 6: Final answer
    x = 685.00

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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.