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Finding the Fourth Proportional to 510.04, 703.58 and 323.18

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Solution

The fourth proportional to 510.04, 703.58 and 323.18 is: 445.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.04 : 703.58 = 323.18 : x
  2. Step 2: Convert to fraction form
    510.04/703.58 = 323.18/x
  3. Step 3: Cross multiply
    510.04x = 703.58 × 323.18
  4. Step 4: Simplify right side
    510.04x = 227,382.98
  5. Step 5: Solve for x
    x = 227,382.98/510.04
  6. Step 6: Final answer
    x = 445.81

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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.