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Finding the Fourth Proportional to 524.76, 723.64 and 454.80

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Solution

The fourth proportional to 524.76, 723.64 and 454.80 is: 627.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.76 : 723.64 = 454.80 : x
  2. Step 2: Convert to fraction form
    524.76/723.64 = 454.80/x
  3. Step 3: Cross multiply
    524.76x = 723.64 × 454.80
  4. Step 4: Simplify right side
    524.76x = 329,111.47
  5. Step 5: Solve for x
    x = 329,111.47/524.76
  6. Step 6: Final answer
    x = 627.17

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Find fourth proportional to 262.38, 361.82 and 227.40
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1.5x scale

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.