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Finding the Fourth Proportional to 530.27, 732.78 and 430.50

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Solution

The fourth proportional to 530.27, 732.78 and 430.50 is: 594.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.27 : 732.78 = 430.50 : x
  2. Step 2: Convert to fraction form
    530.27/732.78 = 430.50/x
  3. Step 3: Cross multiply
    530.27x = 732.78 × 430.50
  4. Step 4: Simplify right side
    530.27x = 315,461.79
  5. Step 5: Solve for x
    x = 315,461.79/530.27
  6. Step 6: Final answer
    x = 594.91

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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.