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Finding the Fourth Proportional to 583.04, 874.62 and 198.32

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Solution

The fourth proportional to 583.04, 874.62 and 198.32 is: 297.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.04 : 874.62 = 198.32 : x
  2. Step 2: Convert to fraction form
    583.04/874.62 = 198.32/x
  3. Step 3: Cross multiply
    583.04x = 874.62 × 198.32
  4. Step 4: Simplify right side
    583.04x = 173,454.64
  5. Step 5: Solve for x
    x = 173,454.64/583.04
  6. Step 6: Final answer
    x = 297.50

Related Problems

Find fourth proportional to 291.52, 437.31 and 99.16
Half scale
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Double scale
Find fourth proportional to 584.04, 876.12 and 199.32
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.