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Finding the Fourth Proportional to 562.02, 842.54 and 302.16

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Solution

The fourth proportional to 562.02, 842.54 and 302.16 is: 452.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.02 : 842.54 = 302.16 : x
  2. Step 2: Convert to fraction form
    562.02/842.54 = 302.16/x
  3. Step 3: Cross multiply
    562.02x = 842.54 × 302.16
  4. Step 4: Simplify right side
    562.02x = 254,582.48
  5. Step 5: Solve for x
    x = 254,582.48/562.02
  6. Step 6: Final answer
    x = 452.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.