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Finding the Fourth Proportional to 530.61, 732.14 and 309.45

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Solution

The fourth proportional to 530.61, 732.14 and 309.45 is: 426.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.61 : 732.14 = 309.45 : x
  2. Step 2: Convert to fraction form
    530.61/732.14 = 309.45/x
  3. Step 3: Cross multiply
    530.61x = 732.14 × 309.45
  4. Step 4: Simplify right side
    530.61x = 226,559.18
  5. Step 5: Solve for x
    x = 226,559.18/530.61
  6. Step 6: Final answer
    x = 426.98

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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.