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Finding the Fourth Proportional to 562.60, 850.21 and 530.20

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Solution

The fourth proportional to 562.60, 850.21 and 530.20 is: 801.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.60 : 850.21 = 530.20 : x
  2. Step 2: Convert to fraction form
    562.60/850.21 = 530.20/x
  3. Step 3: Cross multiply
    562.60x = 850.21 × 530.20
  4. Step 4: Simplify right side
    562.60x = 450,781.34
  5. Step 5: Solve for x
    x = 450,781.34/562.60
  6. Step 6: Final answer
    x = 801.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.