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Finding the Fourth Proportional to 612.98, 920.28 and 586.93

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Solution

The fourth proportional to 612.98, 920.28 and 586.93 is: 881.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.98 : 920.28 = 586.93 : x
  2. Step 2: Convert to fraction form
    612.98/920.28 = 586.93/x
  3. Step 3: Cross multiply
    612.98x = 920.28 × 586.93
  4. Step 4: Simplify right side
    612.98x = 540,135.34
  5. Step 5: Solve for x
    x = 540,135.34/612.98
  6. Step 6: Final answer
    x = 881.16

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