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Finding the Fourth Proportional to 656.03, 978.93 and 597.81

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Solution

The fourth proportional to 656.03, 978.93 and 597.81 is: 892.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.03 : 978.93 = 597.81 : x
  2. Step 2: Convert to fraction form
    656.03/978.93 = 597.81/x
  3. Step 3: Cross multiply
    656.03x = 978.93 × 597.81
  4. Step 4: Simplify right side
    656.03x = 585,211.90
  5. Step 5: Solve for x
    x = 585,211.90/656.03
  6. Step 6: Final answer
    x = 892.05

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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.