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Finding the Fourth Proportional to 530.74, 795.70 and 410.05

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Solution

The fourth proportional to 530.74, 795.70 and 410.05 is: 614.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.74 : 795.70 = 410.05 : x
  2. Step 2: Convert to fraction form
    530.74/795.70 = 410.05/x
  3. Step 3: Cross multiply
    530.74x = 795.70 × 410.05
  4. Step 4: Simplify right side
    530.74x = 326,276.79
  5. Step 5: Solve for x
    x = 326,276.79/530.74
  6. Step 6: Final answer
    x = 614.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.