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Finding the Fourth Proportional to 714.79, 1,071.64 and 509.32

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Solution

The fourth proportional to 714.79, 1,071.64 and 509.32 is: 763.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.79 : 1,071.64 = 509.32 : x
  2. Step 2: Convert to fraction form
    714.79/1,071.64 = 509.32/x
  3. Step 3: Cross multiply
    714.79x = 1,071.64 × 509.32
  4. Step 4: Simplify right side
    714.79x = 545,807.68
  5. Step 5: Solve for x
    x = 545,807.68/714.79
  6. Step 6: Final answer
    x = 763.59

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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.