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Finding the Fourth Proportional to 509.97, 703.50 and 352.76

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Solution

The fourth proportional to 509.97, 703.50 and 352.76 is: 486.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.97 : 703.50 = 352.76 : x
  2. Step 2: Convert to fraction form
    509.97/703.50 = 352.76/x
  3. Step 3: Cross multiply
    509.97x = 703.50 × 352.76
  4. Step 4: Simplify right side
    509.97x = 248,167.10
  5. Step 5: Solve for x
    x = 248,167.10/509.97
  6. Step 6: Final answer
    x = 486.63

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Find fourth proportional to 254.99, 351.75 and 176.38
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Double scale
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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.