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Finding the Fourth Proportional to 530.69, 730.53 and 459.77

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Solution

The fourth proportional to 530.69, 730.53 and 459.77 is: 632.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.69 : 730.53 = 459.77 : x
  2. Step 2: Convert to fraction form
    530.69/730.53 = 459.77/x
  3. Step 3: Cross multiply
    530.69x = 730.53 × 459.77
  4. Step 4: Simplify right side
    530.69x = 335,872.13
  5. Step 5: Solve for x
    x = 335,872.13/530.69
  6. Step 6: Final answer
    x = 632.90

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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.