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Finding the Fourth Proportional to 598.61, 893.78 and 561.72

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Solution

The fourth proportional to 598.61, 893.78 and 561.72 is: 838.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.61 : 893.78 = 561.72 : x
  2. Step 2: Convert to fraction form
    598.61/893.78 = 561.72/x
  3. Step 3: Cross multiply
    598.61x = 893.78 × 561.72
  4. Step 4: Simplify right side
    598.61x = 502,054.10
  5. Step 5: Solve for x
    x = 502,054.10/598.61
  6. Step 6: Final answer
    x = 838.70

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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.