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Finding the Fourth Proportional to 612.32, 916.34 and 501.35

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Solution

The fourth proportional to 612.32, 916.34 and 501.35 is: 750.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.32 : 916.34 = 501.35 : x
  2. Step 2: Convert to fraction form
    612.32/916.34 = 501.35/x
  3. Step 3: Cross multiply
    612.32x = 916.34 × 501.35
  4. Step 4: Simplify right side
    612.32x = 459,407.06
  5. Step 5: Solve for x
    x = 459,407.06/612.32
  6. Step 6: Final answer
    x = 750.27

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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.