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Finding the Fourth Proportional to 510.36, 703.58 and 440.20

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Solution

The fourth proportional to 510.36, 703.58 and 440.20 is: 606.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.36 : 703.58 = 440.20 : x
  2. Step 2: Convert to fraction form
    510.36/703.58 = 440.20/x
  3. Step 3: Cross multiply
    510.36x = 703.58 × 440.20
  4. Step 4: Simplify right side
    510.36x = 309,715.92
  5. Step 5: Solve for x
    x = 309,715.92/510.36
  6. Step 6: Final answer
    x = 606.86

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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.