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Finding the Fourth Proportional to 504.77, 694.98 and 442.24

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Solution

The fourth proportional to 504.77, 694.98 and 442.24 is: 608.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.77 : 694.98 = 442.24 : x
  2. Step 2: Convert to fraction form
    504.77/694.98 = 442.24/x
  3. Step 3: Cross multiply
    504.77x = 694.98 × 442.24
  4. Step 4: Simplify right side
    504.77x = 307,346.22
  5. Step 5: Solve for x
    x = 307,346.22/504.77
  6. Step 6: Final answer
    x = 608.89

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Find fourth proportional to 252.38, 347.49 and 221.12
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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.