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Finding the Fourth Proportional to 530.76, 732.52 and 309.76

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Solution

The fourth proportional to 530.76, 732.52 and 309.76 is: 427.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.76 : 732.52 = 309.76 : x
  2. Step 2: Convert to fraction form
    530.76/732.52 = 309.76/x
  3. Step 3: Cross multiply
    530.76x = 732.52 × 309.76
  4. Step 4: Simplify right side
    530.76x = 226,905.40
  5. Step 5: Solve for x
    x = 226,905.40/530.76
  6. Step 6: Final answer
    x = 427.51

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1.5x scale

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.