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Finding the Fourth Proportional to 612.69, 916.50 and 510.10

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Solution

The fourth proportional to 612.69, 916.50 and 510.10 is: 763.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.69 : 916.50 = 510.10 : x
  2. Step 2: Convert to fraction form
    612.69/916.50 = 510.10/x
  3. Step 3: Cross multiply
    612.69x = 916.50 × 510.10
  4. Step 4: Simplify right side
    612.69x = 467,506.65
  5. Step 5: Solve for x
    x = 467,506.65/612.69
  6. Step 6: Final answer
    x = 763.04

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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.