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Finding the Fourth Proportional to 530.56, 731.70 and 384.16

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Solution

The fourth proportional to 530.56, 731.70 and 384.16 is: 529.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.56 : 731.70 = 384.16 : x
  2. Step 2: Convert to fraction form
    530.56/731.70 = 384.16/x
  3. Step 3: Cross multiply
    530.56x = 731.70 × 384.16
  4. Step 4: Simplify right side
    530.56x = 281,089.87
  5. Step 5: Solve for x
    x = 281,089.87/530.56
  6. Step 6: Final answer
    x = 529.80

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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.