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Finding the Fourth Proportional to 530.35, 789.28 and 510.91

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Solution

The fourth proportional to 530.35, 789.28 and 510.91 is: 760.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.35 : 789.28 = 510.91 : x
  2. Step 2: Convert to fraction form
    530.35/789.28 = 510.91/x
  3. Step 3: Cross multiply
    530.35x = 789.28 × 510.91
  4. Step 4: Simplify right side
    530.35x = 403,247.79
  5. Step 5: Solve for x
    x = 403,247.79/530.35
  6. Step 6: Final answer
    x = 760.35

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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.