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Finding the Fourth Proportional to 530.99, 732.61 and 309.91

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Solution

The fourth proportional to 530.99, 732.61 and 309.91 is: 427.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.99 : 732.61 = 309.91 : x
  2. Step 2: Convert to fraction form
    530.99/732.61 = 309.91/x
  3. Step 3: Cross multiply
    530.99x = 732.61 × 309.91
  4. Step 4: Simplify right side
    530.99x = 227,043.17
  5. Step 5: Solve for x
    x = 227,043.17/530.99
  6. Step 6: Final answer
    x = 427.58

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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.