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Finding the Fourth Proportional to 601.88, 830.22 and 436.28

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Solution

The fourth proportional to 601.88, 830.22 and 436.28 is: 601.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.88 : 830.22 = 436.28 : x
  2. Step 2: Convert to fraction form
    601.88/830.22 = 436.28/x
  3. Step 3: Cross multiply
    601.88x = 830.22 × 436.28
  4. Step 4: Simplify right side
    601.88x = 362,208.38
  5. Step 5: Solve for x
    x = 362,208.38/601.88
  6. Step 6: Final answer
    x = 601.80

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Half scale
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Double scale
Find fourth proportional to 602.88, 831.60 and 437.28
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.