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Finding the Fourth Proportional to 612.12, 844.14 and 464.76

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Solution

The fourth proportional to 612.12, 844.14 and 464.76 is: 640.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.12 : 844.14 = 464.76 : x
  2. Step 2: Convert to fraction form
    612.12/844.14 = 464.76/x
  3. Step 3: Cross multiply
    612.12x = 844.14 × 464.76
  4. Step 4: Simplify right side
    612.12x = 392,322.51
  5. Step 5: Solve for x
    x = 392,322.51/612.12
  6. Step 6: Final answer
    x = 640.92

Related Problems

Find fourth proportional to 306.06, 422.07 and 232.38
Half scale
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Double scale
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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.