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Finding the Fourth Proportional to 536.77, 740.76 and 420.13

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Solution

The fourth proportional to 536.77, 740.76 and 420.13 is: 579.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.77 : 740.76 = 420.13 : x
  2. Step 2: Convert to fraction form
    536.77/740.76 = 420.13/x
  3. Step 3: Cross multiply
    536.77x = 740.76 × 420.13
  4. Step 4: Simplify right side
    536.77x = 311,211.80
  5. Step 5: Solve for x
    x = 311,211.80/536.77
  6. Step 6: Final answer
    x = 579.79

Related Problems

Find fourth proportional to 268.38, 370.38 and 210.06
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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.