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Finding the Fourth Proportional to 585.01, 881.98 and 577.72

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Solution

The fourth proportional to 585.01, 881.98 and 577.72 is: 870.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.01 : 881.98 = 577.72 : x
  2. Step 2: Convert to fraction form
    585.01/881.98 = 577.72/x
  3. Step 3: Cross multiply
    585.01x = 881.98 × 577.72
  4. Step 4: Simplify right side
    585.01x = 509,537.49
  5. Step 5: Solve for x
    x = 509,537.49/585.01
  6. Step 6: Final answer
    x = 870.99

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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.