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Finding the Fourth Proportional to 585.03, 872.64 and 529.68

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Solution

The fourth proportional to 585.03, 872.64 and 529.68 is: 790.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.03 : 872.64 = 529.68 : x
  2. Step 2: Convert to fraction form
    585.03/872.64 = 529.68/x
  3. Step 3: Cross multiply
    585.03x = 872.64 × 529.68
  4. Step 4: Simplify right side
    585.03x = 462,219.96
  5. Step 5: Solve for x
    x = 462,219.96/585.03
  6. Step 6: Final answer
    x = 790.08

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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.