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Finding the Fourth Proportional to 585.42, 807.10 and 485.47

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Solution

The fourth proportional to 585.42, 807.10 and 485.47 is: 669.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.42 : 807.10 = 485.47 : x
  2. Step 2: Convert to fraction form
    585.42/807.10 = 485.47/x
  3. Step 3: Cross multiply
    585.42x = 807.10 × 485.47
  4. Step 4: Simplify right side
    585.42x = 391,822.84
  5. Step 5: Solve for x
    x = 391,822.84/585.42
  6. Step 6: Final answer
    x = 669.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.