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Finding the Fourth Proportional to 623.58, 931.04 and 563.10

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Solution

The fourth proportional to 623.58, 931.04 and 563.10 is: 840.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.58 : 931.04 = 563.10 : x
  2. Step 2: Convert to fraction form
    623.58/931.04 = 563.10/x
  3. Step 3: Cross multiply
    623.58x = 931.04 × 563.10
  4. Step 4: Simplify right side
    623.58x = 524,265.81
  5. Step 5: Solve for x
    x = 524,265.81/623.58
  6. Step 6: Final answer
    x = 840.74

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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.