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Finding the Fourth Proportional to 714.75, 986.46 and 420.18

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Solution

The fourth proportional to 714.75, 986.46 and 420.18 is: 579.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.75 : 986.46 = 420.18 : x
  2. Step 2: Convert to fraction form
    714.75/986.46 = 420.18/x
  3. Step 3: Cross multiply
    714.75x = 986.46 × 420.18
  4. Step 4: Simplify right side
    714.75x = 414,490.76
  5. Step 5: Solve for x
    x = 414,490.76/714.75
  6. Step 6: Final answer
    x = 579.91

Related Problems

Find fourth proportional to 357.38, 493.23 and 210.09
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.