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Finding the Fourth Proportional to 596.76, 823.52 and 348.08

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Solution

The fourth proportional to 596.76, 823.52 and 348.08 is: 480.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.76 : 823.52 = 348.08 : x
  2. Step 2: Convert to fraction form
    596.76/823.52 = 348.08/x
  3. Step 3: Cross multiply
    596.76x = 823.52 × 348.08
  4. Step 4: Simplify right side
    596.76x = 286,650.84
  5. Step 5: Solve for x
    x = 286,650.84/596.76
  6. Step 6: Final answer
    x = 480.35

Related Problems

Find fourth proportional to 298.38, 411.76 and 174.04
Half scale
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Double scale
Find fourth proportional to 597.76, 824.90 and 349.08
Similar ratio
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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.