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Finding the Fourth Proportional to 562.02, 841.87 and 521.01

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Solution

The fourth proportional to 562.02, 841.87 and 521.01 is: 780.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.02 : 841.87 = 521.01 : x
  2. Step 2: Convert to fraction form
    562.02/841.87 = 521.01/x
  3. Step 3: Cross multiply
    562.02x = 841.87 × 521.01
  4. Step 4: Simplify right side
    562.02x = 438,621.39
  5. Step 5: Solve for x
    x = 438,621.39/562.02
  6. Step 6: Final answer
    x = 780.44

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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.