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Finding the Fourth Proportional to 920.62, 1,381.20 and 530.20

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Solution

The fourth proportional to 920.62, 1,381.20 and 530.20 is: 795.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.62 : 1,381.20 = 530.20 : x
  2. Step 2: Convert to fraction form
    920.62/1,381.20 = 530.20/x
  3. Step 3: Cross multiply
    920.62x = 1,381.20 × 530.20
  4. Step 4: Simplify right side
    920.62x = 732,312.24
  5. Step 5: Solve for x
    x = 732,312.24/920.62
  6. Step 6: Final answer
    x = 795.46

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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.