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Finding the Fourth Proportional to 530.47, 794.26 and 460.72

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Solution

The fourth proportional to 530.47, 794.26 and 460.72 is: 689.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.47 : 794.26 = 460.72 : x
  2. Step 2: Convert to fraction form
    530.47/794.26 = 460.72/x
  3. Step 3: Cross multiply
    530.47x = 794.26 × 460.72
  4. Step 4: Simplify right side
    530.47x = 365,931.47
  5. Step 5: Solve for x
    x = 365,931.47/530.47
  6. Step 6: Final answer
    x = 689.82

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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.