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Finding the Fourth Proportional to 617.55, 931.44 and 577.05

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Solution

The fourth proportional to 617.55, 931.44 and 577.05 is: 870.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.55 : 931.44 = 577.05 : x
  2. Step 2: Convert to fraction form
    617.55/931.44 = 577.05/x
  3. Step 3: Cross multiply
    617.55x = 931.44 × 577.05
  4. Step 4: Simplify right side
    617.55x = 537,487.45
  5. Step 5: Solve for x
    x = 537,487.45/617.55
  6. Step 6: Final answer
    x = 870.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.