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Finding the Fourth Proportional to 530.70, 736.48 and 509.10

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Solution

The fourth proportional to 530.70, 736.48 and 509.10 is: 706.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.70 : 736.48 = 509.10 : x
  2. Step 2: Convert to fraction form
    530.70/736.48 = 509.10/x
  3. Step 3: Cross multiply
    530.70x = 736.48 × 509.10
  4. Step 4: Simplify right side
    530.70x = 374,941.97
  5. Step 5: Solve for x
    x = 374,941.97/530.70
  6. Step 6: Final answer
    x = 706.50

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.