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Finding the Fourth Proportional to 585.12, 803.01 and 529.74

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Solution

The fourth proportional to 585.12, 803.01 and 529.74 is: 727.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.12 : 803.01 = 529.74 : x
  2. Step 2: Convert to fraction form
    585.12/803.01 = 529.74/x
  3. Step 3: Cross multiply
    585.12x = 803.01 × 529.74
  4. Step 4: Simplify right side
    585.12x = 425,388.50
  5. Step 5: Solve for x
    x = 425,388.50/585.12
  6. Step 6: Final answer
    x = 727.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.