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Finding the Fourth Proportional to 977.04, 1,465.20 and 429.12

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Solution

The fourth proportional to 977.04, 1,465.20 and 429.12 is: 643.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.04 : 1,465.20 = 429.12 : x
  2. Step 2: Convert to fraction form
    977.04/1,465.20 = 429.12/x
  3. Step 3: Cross multiply
    977.04x = 1,465.20 × 429.12
  4. Step 4: Simplify right side
    977.04x = 628,746.62
  5. Step 5: Solve for x
    x = 628,746.62/977.04
  6. Step 6: Final answer
    x = 643.52

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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.