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Finding the Fourth Proportional to 612.63, 915.07 and 577.10

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Solution

The fourth proportional to 612.63, 915.07 and 577.10 is: 861.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.63 : 915.07 = 577.10 : x
  2. Step 2: Convert to fraction form
    612.63/915.07 = 577.10/x
  3. Step 3: Cross multiply
    612.63x = 915.07 × 577.10
  4. Step 4: Simplify right side
    612.63x = 528,082.32
  5. Step 5: Solve for x
    x = 528,082.32/612.63
  6. Step 6: Final answer
    x = 861.99

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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.