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Finding the Fourth Proportional to 597.98, 825.68 and 466.76

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Solution

The fourth proportional to 597.98, 825.68 and 466.76 is: 644.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.98 : 825.68 = 466.76 : x
  2. Step 2: Convert to fraction form
    597.98/825.68 = 466.76/x
  3. Step 3: Cross multiply
    597.98x = 825.68 × 466.76
  4. Step 4: Simplify right side
    597.98x = 385,394.40
  5. Step 5: Solve for x
    x = 385,394.40/597.98
  6. Step 6: Final answer
    x = 644.49

Related Problems

Find fourth proportional to 298.99, 412.84 and 233.38
Half scale
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Double scale
Find fourth proportional to 598.98, 827.06 and 467.76
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.