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Finding the Fourth Proportional to 585.30, 873.80 and 520.50

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Solution

The fourth proportional to 585.30, 873.80 and 520.50 is: 777.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.30 : 873.80 = 520.50 : x
  2. Step 2: Convert to fraction form
    585.30/873.80 = 520.50/x
  3. Step 3: Cross multiply
    585.30x = 873.80 × 520.50
  4. Step 4: Simplify right side
    585.30x = 454,810.30
  5. Step 5: Solve for x
    x = 454,810.30/585.30
  6. Step 6: Final answer
    x = 777.06

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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.