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Finding the Fourth Proportional to 594.76, 819.76 and 417.78

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Solution

The fourth proportional to 594.76, 819.76 and 417.78 is: 575.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.76 : 819.76 = 417.78 : x
  2. Step 2: Convert to fraction form
    594.76/819.76 = 417.78/x
  3. Step 3: Cross multiply
    594.76x = 819.76 × 417.78
  4. Step 4: Simplify right side
    594.76x = 342,479.33
  5. Step 5: Solve for x
    x = 342,479.33/594.76
  6. Step 6: Final answer
    x = 575.83

Related Problems

Find fourth proportional to 297.38, 409.88 and 208.89
Half scale
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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.