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Finding the Fourth Proportional to 530.12, 732.84 and 468.56

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Solution

The fourth proportional to 530.12, 732.84 and 468.56 is: 647.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.12 : 732.84 = 468.56 : x
  2. Step 2: Convert to fraction form
    530.12/732.84 = 468.56/x
  3. Step 3: Cross multiply
    530.12x = 732.84 × 468.56
  4. Step 4: Simplify right side
    530.12x = 343,379.51
  5. Step 5: Solve for x
    x = 343,379.51/530.12
  6. Step 6: Final answer
    x = 647.74

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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.