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Finding the Fourth Proportional to 530.13, 790.91 and 505.34

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Solution

The fourth proportional to 530.13, 790.91 and 505.34 is: 753.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.13 : 790.91 = 505.34 : x
  2. Step 2: Convert to fraction form
    530.13/790.91 = 505.34/x
  3. Step 3: Cross multiply
    530.13x = 790.91 × 505.34
  4. Step 4: Simplify right side
    530.13x = 399,675.86
  5. Step 5: Solve for x
    x = 399,675.86/530.13
  6. Step 6: Final answer
    x = 753.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.