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Finding the Fourth Proportional to 484.92, 724.23 and 420.12

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Solution

The fourth proportional to 484.92, 724.23 and 420.12 is: 627.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.92 : 724.23 = 420.12 : x
  2. Step 2: Convert to fraction form
    484.92/724.23 = 420.12/x
  3. Step 3: Cross multiply
    484.92x = 724.23 × 420.12
  4. Step 4: Simplify right side
    484.92x = 304,263.51
  5. Step 5: Solve for x
    x = 304,263.51/484.92
  6. Step 6: Final answer
    x = 627.45

Related Problems

Find fourth proportional to 242.46, 362.12 and 210.06
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 (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.