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Finding the Fourth Proportional to 612.06, 916.80 and 585.30

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Solution

The fourth proportional to 612.06, 916.80 and 585.30 is: 876.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.06 : 916.80 = 585.30 : x
  2. Step 2: Convert to fraction form
    612.06/916.80 = 585.30/x
  3. Step 3: Cross multiply
    612.06x = 916.80 × 585.30
  4. Step 4: Simplify right side
    612.06x = 536,603.04
  5. Step 5: Solve for x
    x = 536,603.04/612.06
  6. Step 6: Final answer
    x = 876.72

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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.