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Finding the Fourth Proportional to 522.65, 720.93 and 345.60

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Solution

The fourth proportional to 522.65, 720.93 and 345.60 is: 476.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.65 : 720.93 = 345.60 : x
  2. Step 2: Convert to fraction form
    522.65/720.93 = 345.60/x
  3. Step 3: Cross multiply
    522.65x = 720.93 × 345.60
  4. Step 4: Simplify right side
    522.65x = 249,153.41
  5. Step 5: Solve for x
    x = 249,153.41/522.65
  6. Step 6: Final answer
    x = 476.72

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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.