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Finding the Fourth Proportional to 585.50, 803.53 and 530.12

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Solution

The fourth proportional to 585.50, 803.53 and 530.12 is: 727.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.50 : 803.53 = 530.12 : x
  2. Step 2: Convert to fraction form
    585.50/803.53 = 530.12/x
  3. Step 3: Cross multiply
    585.50x = 803.53 × 530.12
  4. Step 4: Simplify right side
    585.50x = 425,961.98
  5. Step 5: Solve for x
    x = 425,961.98/585.50
  6. Step 6: Final answer
    x = 727.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.